diff --git a/PySDM/attributes/physics/__init__.py b/PySDM/attributes/physics/__init__.py
index 44416bd9d9..a3370b300b 100644
--- a/PySDM/attributes/physics/__init__.py
+++ b/PySDM/attributes/physics/__init__.py
@@ -18,3 +18,4 @@
 from .terminal_velocity import TerminalVelocity
 from .volume import Volume
 from .reynolds_number import ReynoldsNumber
+from . import local_thermodynamics
diff --git a/PySDM/attributes/physics/local_thermodynamics.py b/PySDM/attributes/physics/local_thermodynamics.py
new file mode 100644
index 0000000000..5d5ddad0e2
--- /dev/null
+++ b/PySDM/attributes/physics/local_thermodynamics.py
@@ -0,0 +1,79 @@
+from ..impl import (
+    register_attribute,
+    ExtensiveAttribute,
+    DummyAttribute,
+    DerivedAttribute,
+)
+
+
+class DropwiseTendency(DummyAttribute):
+    def __init__(self, builder, *, name):
+        super().__init__(builder, name=name + " tendency")
+        builder.particulator.initialisers.append(self)
+
+    def setup(self):
+        self.data.data[:] = 0.0
+
+
+class DropwiseThermodynamicVarRelaxed(
+    DummyAttribute
+):  # TODO: it should not be extensive - what happens with Qk and Tk when two droplets collide!
+    def __init__(self, builder, *, name):
+        super().__init__(builder, name=name)
+        builder.particulator.initialisers.append(self)
+
+    def setup(self):
+        self.data.data[:] = self.particulator.environment[
+            {
+                "dropwise water vapour mixing ratio": "water_vapour_mixing_ratio",
+                "dropwise dry air potential temperature": "thd",
+            }[self.name]
+        ][self.particulator.attributes["cell id"].data]
+
+
+class DropwiseThermodynamicVarAmbient(DropwiseThermodynamicVarRelaxed):
+    def __init__(self, builder, *, name):
+        super().__init__(builder, name=name)
+        builder.particulator.observers.append(
+            self
+        )  # TODO: check if this is not too early/late for the update?
+
+    def notify(self):
+        self.setup()
+
+
+def make_tendency_factory(name):
+    def _factory(builder):
+        return DropwiseTendency(builder, name=name)
+
+    return _factory
+
+
+def make_relaxed_var_factory(name):
+    def _factory(builder):
+        return DropwiseThermodynamicVarRelaxed(builder, name=name)
+
+    return _factory
+
+
+def make_ambient_var_factory(name):
+    def _factory(builder):
+        return DropwiseThermodynamicVarAmbient(builder, name=name)
+
+    return _factory
+
+
+for var in (
+    "dropwise water vapour mixing ratio",
+    "dropwise dry air potential temperature",
+):
+    register_attribute(name=f"{var} tendency")(make_tendency_factory(var))
+    register_attribute(
+        name=var, variant=lambda dynamics, _: "DropLocalThermodynamics" in dynamics
+    )(make_relaxed_var_factory(var))
+    register_attribute(
+        name=var, variant=lambda dynamics, _: "DropLocalThermodynamics" not in dynamics
+    )(make_ambient_var_factory(var))
+
+
+# TODO: shouldn't it be defined as mass rather than mixing ratio? (like for multiplicity)
diff --git a/PySDM/backends/impl_numba/methods/deposition_methods.py b/PySDM/backends/impl_numba/methods/deposition_methods.py
index 7c1fa01458..acbf59a6c3 100644
--- a/PySDM/backends/impl_numba/methods/deposition_methods.py
+++ b/PySDM/backends/impl_numba/methods/deposition_methods.py
@@ -114,48 +114,30 @@ def mass_deposition_rate_per_droplet(
             return mass_deposition_rate
 
         @numba.njit(**{**self.default_jit_flags, **{"parallel": False}})
-        def _loop(
+        def _step(
             fake,
+            drop_id,
             temperature,
             rhod,
             thd,
             signed_water_mass,
             saturation_ratio_ice,
             total_pressure,
-            multiplicity,
             sub_time_step,
             mass_of_dry_air,
+            ksi,
         ):
             latent_heat_sub = formulae.latent_heat_sublimation__ls(temperature)
-            delta_rv = 0
-            for i, ksi in enumerate(multiplicity):
-                if not formulae.trivia__unfrozen(signed_water_mass[i]):
-                    mass_deposition_rate = mass_deposition_rate_per_droplet(
-                        temperature=temperature,
-                        rho_d=rhod,
-                        signed_mass_old=signed_water_mass[i],
-                        latent_heat_sub=latent_heat_sub,
-                        saturation_ratio_ice=saturation_ratio_ice,
-                        pressure=total_pressure,
-                    )
-                    delta_rv += (
-                        -mass_deposition_rate * ksi * sub_time_step / mass_of_dry_air
-                    )
-                    if not fake:
-                        x_old = formulae.diffusion_coordinate__x(-signed_water_mass[i])
-                        dx_dt_old = formulae.diffusion_coordinate__dx_dt(
-                            -signed_water_mass[i], mass_deposition_rate
-                        )
-                        x_new = formulae.trivia__explicit_euler(
-                            x_old, sub_time_step, dx_dt_old
-                        )
-                        signed_water_mass[i] = -formulae.diffusion_coordinate__mass(
-                            x_new
-                        )
-                        if x_new > 1:
-                            print(x_old, dx_dt_old, x_new, signed_water_mass[i])
-                            assert False
-            delta_thd = (
+            mass_deposition_rate = mass_deposition_rate_per_droplet(
+                temperature=temperature,
+                rho_d=rhod,
+                signed_mass_old=signed_water_mass[drop_id],
+                latent_heat_sub=latent_heat_sub,
+                saturation_ratio_ice=saturation_ratio_ice,
+                pressure=total_pressure,
+            )
+            delta_rv = -ksi * mass_deposition_rate * sub_time_step / mass_of_dry_air
+            delta_thd = sub_time_step * (
                 formulae.state_variable_triplet__dthd_dt(
                     rhod=rhod,
                     thd=thd,
@@ -163,8 +145,17 @@ def _loop(
                     d_water_vapour_mixing_ratio__dt=delta_rv / sub_time_step,
                     lv=latent_heat_sub,
                 )
-                * sub_time_step
             )
+            if not fake:
+                x_old = formulae.diffusion_coordinate__x(-signed_water_mass[drop_id])
+                dx_dt_old = formulae.diffusion_coordinate__dx_dt(
+                    -signed_water_mass[drop_id], mass_deposition_rate
+                )
+                x_new = formulae.trivia__explicit_euler(x_old, sub_time_step, dx_dt_old)
+                signed_water_mass[drop_id] = -formulae.diffusion_coordinate__mass(x_new)
+                if x_new > 1:
+                    print(x_old, dx_dt_old, x_new, signed_water_mass[drop_id])
+                    assert False
             if delta_rv == 0:
                 assert delta_thd == 0
             else:
@@ -177,15 +168,14 @@ def body(  # pylint: disable=too-many-arguments
             adaptive,
             multiplicity,
             signed_water_mass,
-            current_vapour_mixing_ratio,
+            dropwise_vapour_mixing_ratio,
+            dropwise_dry_air_potential_temperature,
             current_dry_air_density,
-            current_dry_potential_temperature,
             cell_volume,
             time_step,
             cell_id,
-            # to be modified
-            predicted_vapour_mixing_ratio,
-            predicted_dry_potential_temperature,
+            dropwise_vapour_mixing_ratio_tendency,
+            dropwise_dry_air_potential_temperature_tendency,
             predicted_dry_air_density,
         ):
             """simplest adaptivity:
@@ -193,17 +183,9 @@ def body(  # pylint: disable=too-many-arguments
             - no mechanism to retain dt value over timesteps
             - explicit Euler mass integration (vs. implicit in condensation)
             """
-            # pylint: disable=too-many-locals
             n_substeps = 1
             cid = cell_id[0]  # TODO #1524: add support for multi-cell environments
 
-            rv_tendency = (
-                predicted_vapour_mixing_ratio[cid] - current_vapour_mixing_ratio[cid]
-            ) / time_step
-            thd_tendency = (
-                predicted_dry_potential_temperature[cid]
-                - current_dry_potential_temperature[cid]
-            ) / time_step
             rhod_tendency = (
                 predicted_dry_air_density[cid] - current_dry_air_density[cid]
             ) / time_step
@@ -213,25 +195,92 @@ def body(  # pylint: disable=too-many-arguments
                 / 2
             )
 
-            if adaptive:
-                n_substeps = 1 / multiplier
-                delta_rh_long = np.nan
-                for burnout in range(fuse + 1):
-                    if burnout == fuse:
-                        assert False
-                    sub_time_step = time_step / n_substeps
-                    rhod = (
-                        current_dry_air_density[cid]
-                        + rhod_tendency * (0.5 if midpoint else 1) * sub_time_step
-                    )
-                    rv = (
-                        current_vapour_mixing_ratio[cid]
-                        + rv_tendency * (0.5 if midpoint else 1) * sub_time_step
-                    )
-                    thd = (
-                        current_dry_potential_temperature[cid]
-                        + thd_tendency * (0.5 if midpoint else 1) * sub_time_step
-                    )
+            for drop_id, ksi in enumerate(multiplicity):
+                if formulae.trivia__unfrozen(signed_water_mass[drop_id]):
+                    continue
+                if adaptive:
+                    n_substeps = 1 / multiplier
+                    delta_rh_long = np.nan
+                    for burnout in range(fuse + 1):
+                        if burnout == fuse:
+                            assert False
+                        sub_time_step = time_step / n_substeps
+                        rhod = (
+                            current_dry_air_density[cid]
+                            + rhod_tendency * (0.5 if midpoint else 1) * sub_time_step
+                        )
+                        rv = (
+                            dropwise_vapour_mixing_ratio[drop_id]
+                            + dropwise_vapour_mixing_ratio_tendency[drop_id]
+                            * (0.5 if midpoint else 1)
+                            * sub_time_step
+                        )
+                        thd = (
+                            dropwise_dry_air_potential_temperature[drop_id]
+                            + dropwise_dry_air_potential_temperature_tendency[drop_id]
+                            * (0.5 if midpoint else 1)
+                            * sub_time_step
+                        )
+
+                        saturation_ratio_ice, temperature, total_pressure = (
+                            calc_saturation_ratio_ice_temperature_and_pressure(
+                                vapour_mixing_ratio=rv,
+                                dry_air_potential_temperature=thd,
+                                dry_air_density=rhod,
+                            )
+                        )
+                        delta_rv, delta_thd = _step(
+                            fake=True,
+                            drop_id=drop_id,
+                            temperature=temperature,
+                            rhod=rhod,
+                            thd=thd,
+                            signed_water_mass=signed_water_mass,
+                            saturation_ratio_ice=saturation_ratio_ice,
+                            total_pressure=total_pressure,
+                            sub_time_step=sub_time_step,
+                            mass_of_dry_air=dry_air_mass_mean,
+                            ksi=ksi,
+                        )
+                        delta_rh_short = (
+                            calc_saturation_ratio_ice_temperature_and_pressure(
+                                vapour_mixing_ratio=rv + delta_rv,
+                                dry_air_potential_temperature=thd + delta_thd,
+                                dry_air_density=rhod,
+                            )[0]
+                            - saturation_ratio_ice
+                        )
+                        if (
+                            n_substeps < 1
+                            or rv < -delta_rv * len(multiplicity)  # TODO!
+                            or not formulae.trivia__within_tolerance(
+                                abs(delta_rh_long - multiplier * delta_rh_short),
+                                saturation_ratio_ice,
+                                rel_tol_rh,
+                            )
+                        ):
+                            delta_rh_long = delta_rh_short
+                            n_substeps *= multiplier
+                        else:
+                            break
+                sub_time_step = time_step / n_substeps
+
+                # TODO: as of now, these are tendencies from condensational growth (and env for non-parcel, non-rhod case)
+                drv_dt_forcing = dropwise_vapour_mixing_ratio_tendency[drop_id]
+                dthd_dt_forcing = dropwise_dry_air_potential_temperature_tendency[
+                    drop_id
+                ]
+
+                rv = dropwise_vapour_mixing_ratio[drop_id]
+                thd = dropwise_dry_air_potential_temperature[drop_id]
+                rhod = current_dry_air_density[cid]
+
+                assert n_substeps == int(n_substeps)
+                for _ in range(int(n_substeps)):
+                    # TODO: loop
+                    rv += sub_time_step * drv_dt_forcing * (0.5 if midpoint else 1)
+                    thd += sub_time_step * dthd_dt_forcing * (0.5 if midpoint else 1)
+                    rhod += sub_time_step * rhod_tendency * (0.5 if midpoint else 1)
 
                     saturation_ratio_ice, temperature, total_pressure = (
                         calc_saturation_ratio_ice_temperature_and_pressure(
@@ -240,81 +289,38 @@ def body(  # pylint: disable=too-many-arguments
                             dry_air_density=rhod,
                         )
                     )
-                    delta_rv, delta_thd = _loop(
-                        fake=True,
+                    delta_rv, delta_thd = _step(
+                        fake=False,
+                        drop_id=drop_id,
                         temperature=temperature,
                         rhod=rhod,
                         thd=thd,
                         signed_water_mass=signed_water_mass,
                         saturation_ratio_ice=saturation_ratio_ice,
                         total_pressure=total_pressure,
-                        multiplicity=multiplicity,
                         sub_time_step=sub_time_step,
                         mass_of_dry_air=dry_air_mass_mean,
+                        ksi=ksi,
                     )
-                    delta_rh_short = (
-                        calc_saturation_ratio_ice_temperature_and_pressure(
-                            vapour_mixing_ratio=rv + delta_rv,
-                            dry_air_potential_temperature=thd + delta_thd,
-                            dry_air_density=rhod,
-                        )[0]
-                        - saturation_ratio_ice
-                    )
-                    if (
-                        n_substeps < 1
-                        or rv < -delta_rv
-                        or not formulae.trivia__within_tolerance(
-                            abs(delta_rh_long - multiplier * delta_rh_short),
-                            saturation_ratio_ice,
-                            rel_tol_rh,
-                        )
-                    ):
-                        delta_rh_long = delta_rh_short
-                        n_substeps *= multiplier
-                    else:
-                        break
-            sub_time_step = time_step / n_substeps
-
-            rv = current_vapour_mixing_ratio[cid]
-            thd = current_dry_potential_temperature[cid]
-            rhod = current_dry_air_density[cid]
-
-            assert n_substeps == int(n_substeps)
-            for _ in range(int(n_substeps)):
-                rv += sub_time_step * rv_tendency * (0.5 if midpoint else 1)
-                thd += sub_time_step * thd_tendency * (0.5 if midpoint else 1)
-                rhod += sub_time_step * rhod_tendency * (0.5 if midpoint else 1)
+                    thd += delta_thd
+                    rv += delta_rv
+                    assert rv >= 0, rv
 
-                saturation_ratio_ice, temperature, total_pressure = (
-                    calc_saturation_ratio_ice_temperature_and_pressure(
-                        vapour_mixing_ratio=rv,
-                        dry_air_potential_temperature=thd,
-                        dry_air_density=rhod,
+                    # TODO: test what if there are collisions in between here and application of the tendencies?
+                    #       (which should support the choice of per-real-drop tendency rather than per-SD tendency)
+                    dropwise_vapour_mixing_ratio_tendency[drop_id] += (
+                        delta_rv / time_step
+                    )
+                    # TODO: loop (thanks to storing the thermodynamic vars in a triplet/vector
+                    dropwise_dry_air_potential_temperature_tendency[drop_id] += (
+                        delta_thd / time_step
                     )
-                )
-                delta_rv, delta_thd = _loop(
-                    fake=False,
-                    temperature=temperature,
-                    rhod=rhod,
-                    thd=thd,
-                    signed_water_mass=signed_water_mass,
-                    saturation_ratio_ice=saturation_ratio_ice,
-                    total_pressure=total_pressure,
-                    multiplicity=multiplicity,
-                    sub_time_step=sub_time_step,
-                    mass_of_dry_air=dry_air_mass_mean,
-                )
-                thd += delta_thd
-                rv += delta_rv
-                assert rv >= 0
-
-                if midpoint:
-                    thd += sub_time_step * thd_tendency / 2
-                    rv += sub_time_step * rv_tendency / 2
-                    rhod += sub_time_step * rhod_tendency / 2
 
-            predicted_dry_potential_temperature[cid] = thd
-            predicted_vapour_mixing_ratio[cid] = rv
+                    if midpoint:
+                        # TODO: loop
+                        thd += sub_time_step * dthd_dt_forcing / 2
+                        rv += sub_time_step * drv_dt_forcing / 2
+                        rhod += sub_time_step * rhod_tendency / 2
 
         return body
 
@@ -324,27 +330,29 @@ def deposition(  # pylint: disable=too-many-locals
         adaptive,
         multiplicity,
         signed_water_mass,
-        current_vapour_mixing_ratio,
+        dropwise_vapour_mixing_ratio,
+        dropwise_dry_air_potential_temperature,
         current_dry_air_density,
-        current_dry_potential_temperature,
         cell_volume,
         time_step,
         cell_id,
-        predicted_vapour_mixing_ratio,
-        predicted_dry_potential_temperature,
+        dropwise_vapour_mixing_ratio_tendency,
+        dropwise_dry_air_potential_temperature_tendency,
         predicted_dry_air_density,
     ):
         self._deposition(
             adaptive=adaptive,
             multiplicity=multiplicity.data,
             signed_water_mass=signed_water_mass.data,
-            current_vapour_mixing_ratio=current_vapour_mixing_ratio.data,
+            dropwise_vapour_mixing_ratio=dropwise_vapour_mixing_ratio.data,
+            dropwise_dry_air_potential_temperature=dropwise_dry_air_potential_temperature.data,
             current_dry_air_density=current_dry_air_density.data,
-            current_dry_potential_temperature=current_dry_potential_temperature.data,
             cell_volume=cell_volume,
             time_step=time_step,
             cell_id=cell_id.data,
-            predicted_vapour_mixing_ratio=predicted_vapour_mixing_ratio.data,
-            predicted_dry_potential_temperature=predicted_dry_potential_temperature.data,
+            # after relaxation and Eulerian transport
+            dropwise_vapour_mixing_ratio_tendency=dropwise_vapour_mixing_ratio_tendency.data,
+            dropwise_dry_air_potential_temperature_tendency=dropwise_dry_air_potential_temperature_tendency.data,
+            # this is where the <w>-caused change to thermodynamics is for the parcel model
             predicted_dry_air_density=predicted_dry_air_density.data,
         )
diff --git a/PySDM/dynamics/__init__.py b/PySDM/dynamics/__init__.py
index d296bf4720..ff90d4a2d6 100644
--- a/PySDM/dynamics/__init__.py
+++ b/PySDM/dynamics/__init__.py
@@ -17,3 +17,4 @@
 from PySDM.dynamics.relaxed_velocity import RelaxedVelocity
 from PySDM.dynamics.seeding import Seeding
 from PySDM.dynamics.vapour_deposition_on_ice import VapourDepositionOnIce
+from PySDM.dynamics.drop_local_thermodynamics import DropLocalThermodynamics
diff --git a/PySDM/dynamics/ambient_thermodynamics.py b/PySDM/dynamics/ambient_thermodynamics.py
index e7ac002ea7..e2f056ca60 100644
--- a/PySDM/dynamics/ambient_thermodynamics.py
+++ b/PySDM/dynamics/ambient_thermodynamics.py
@@ -7,11 +7,27 @@
 
 @register_dynamic()
 class AmbientThermodynamics:
-    def __init__(self):
+    def __init__(self, relaxed: bool = False):
         self.particulator = None
+        self.relaxed = relaxed
 
     def register(self, builder):
         self.particulator = builder.particulator
+        builder.particulator.observers.append(self)
+
+        for var in ("water vapour mixing ratio", "dry air potential temperature"):
+            builder.request_attribute(f"dropwise {var}")
+            builder.request_attribute(f"dropwise {var} tendency")
 
     def __call__(self):
+        """beginning of timestep logic: fill the tendency arrays with environment-forcings"""
         self.particulator.environment.sync()
+
+        # TODO - after condensation would be merged into depositional growth, this call should happen here!
+        # self.particulator.drop_local_thermodynamics(self.relaxed)
+
+    def notify(self):
+        """end of timestep logic: apply the tendencies and zero the tendency arrays"""
+        if self.relaxed:
+            self.particulator.apply_dropwise_thermodynamic_tendency()
+        self.particulator.update_ambient_thermodynamics_wrt_ice_growth()
diff --git a/PySDM/dynamics/condensation.py b/PySDM/dynamics/condensation.py
index eb863b32b8..bd656f40a9 100644
--- a/PySDM/dynamics/condensation.py
+++ b/PySDM/dynamics/condensation.py
@@ -129,3 +129,7 @@ def __call__(self):
                         self.counters["n_substeps"][:],
                         int(self.particulator.dt / self.dt_cond_range[0]),
                     )
+            # TODO!
+            self.particulator.drop_local_thermodynamics(
+                self.particulator.dynamics["AmbientThermodynamics"].relaxed
+            )
diff --git a/PySDM/dynamics/drop_local_thermodynamics.py b/PySDM/dynamics/drop_local_thermodynamics.py
new file mode 100644
index 0000000000..9165749c4c
--- /dev/null
+++ b/PySDM/dynamics/drop_local_thermodynamics.py
@@ -0,0 +1,24 @@
+from PySDM.dynamics.impl import register_dynamic
+
+
+@register_dynamic()
+class DropLocalThermodynamics:
+    def __init__(self):
+        self.particulator = None
+
+    def register(self, builder):
+        self.particulator = builder.particulator
+        self.particulator.observers.append(self)
+        assert "AmbientThermodynamics" in self.particulator.dynamics
+        for var in ("water vapour mixing ratio", "dry air potential temperature"):
+            builder.request_attribute(f"dropwise {var}")
+            builder.request_attribute(f"dropwise {var} tendency")
+
+    def __call__(self):
+        pass
+        # perform relaxation
+        # self.particulator.drop_local_thermodynamics()
+
+    def notify(self):
+        pass
+        # self.particulator.apply_dropwise_thermodynamic_tendency()
diff --git a/PySDM/dynamics/vapour_deposition_on_ice.py b/PySDM/dynamics/vapour_deposition_on_ice.py
index fa73d4624e..84e05e9986 100644
--- a/PySDM/dynamics/vapour_deposition_on_ice.py
+++ b/PySDM/dynamics/vapour_deposition_on_ice.py
@@ -14,7 +14,9 @@ def register(self, *, builder):
         """called by the builder"""
         self.particulator = builder.particulator
         assert builder.formulae.particle_shape_and_density.supports_mixed_phase()
-        builder.request_attribute("Reynolds number")
+        for var in ("water vapour mixing ratio", "dry air potential temperature"):
+            builder.request_attribute(f"dropwise {var}")
+            builder.request_attribute(f"dropwise {var} tendency")
 
     def __call__(self):
         """called by the particulator during simulation"""
diff --git a/PySDM/formulae.py b/PySDM/formulae.py
index 4b796f5784..bb6d06f34c 100644
--- a/PySDM/formulae.py
+++ b/PySDM/formulae.py
@@ -63,6 +63,7 @@ def __init__(  # pylint: disable=too-many-locals
         terminal_velocity: str = "GunnKinzer1949",
         air_dynamic_viscosity: str = "ZografosEtAl1987",
         bulk_phase_partitioning: str = "Null",
+        turbulent_relaxation_timescale: str = "Null",
         handle_all_breakups: bool = False,
     ):
         # initialisation of the fields below is just to silence pylint and to enable code hints
@@ -105,6 +106,7 @@ def __init__(  # pylint: disable=too-many-locals
         self.air_dynamic_viscosity = air_dynamic_viscosity
         self.terminal_velocity = terminal_velocity
         self.bulk_phase_partitioning = bulk_phase_partitioning
+        self.turbulent_relaxation_timescale = turbulent_relaxation_timescale
 
         self._components = tuple(
             i
diff --git a/PySDM/particulator.py b/PySDM/particulator.py
index 5919feb805..9a2c92443a 100644
--- a/PySDM/particulator.py
+++ b/PySDM/particulator.py
@@ -30,8 +30,9 @@ def __init__(self, n_sd, backend):
         self.dynamics = {}
         self.products = {}
         self.observers = []
+        self.initialisers = []
 
-        self.n_steps = 0
+        self.n_steps = -1
 
         self.sorting_scheme = "default"
         self.condensation_solver = None
@@ -49,6 +50,9 @@ def __init__(self, n_sd, backend):
         self.null = self.Storage.empty(0, dtype=float)
 
     def run(self, steps):
+        if self.n_steps == -1:
+            self._notify_initialisers()
+            self.n_steps = 0
         for _ in range(steps):
             for key, dynamic in self.dynamics.items():
                 with self.timers[key]:
@@ -61,6 +65,10 @@ def _notify_observers(self):
         for observer in reversed_order_so_that_environment_is_last:
             observer.notify()
 
+    def _notify_initialisers(self):
+        for initialiser in self.initialisers:
+            initialiser.setup()
+
     @property
     def Storage(self):
         return self.backend.Storage
@@ -491,19 +499,28 @@ def deposition(self, adaptive: bool):
             adaptive=adaptive,
             multiplicity=self.attributes["multiplicity"],
             signed_water_mass=self.attributes["signed water mass"],
-            current_vapour_mixing_ratio=self.environment["water_vapour_mixing_ratio"],
+            dropwise_vapour_mixing_ratio=self.attributes[
+                "dropwise water vapour mixing ratio"
+            ],
+            dropwise_dry_air_potential_temperature=self.attributes[
+                "dropwise dry air potential temperature"
+            ],
             current_dry_air_density=self.environment["rhod"],
-            current_dry_potential_temperature=self.environment["thd"],
             cell_volume=self.environment.mesh.dv,
             time_step=self.dt,
             cell_id=self.attributes["cell id"],
-            predicted_vapour_mixing_ratio=self.environment.get_predicted(
-                "water_vapour_mixing_ratio"
-            ),
-            predicted_dry_potential_temperature=self.environment.get_predicted("thd"),
+            dropwise_vapour_mixing_ratio_tendency=self.attributes[
+                "dropwise water vapour mixing ratio tendency"
+            ],
+            dropwise_dry_air_potential_temperature_tendency=self.attributes[
+                "dropwise dry air potential temperature tendency"
+            ],
             predicted_dry_air_density=self.environment.get_predicted("rhod"),
         )
         self.attributes.mark_updated("signed water mass")
+        self.attributes.mark_updated("dropwise dry air potential temperature tendency")
+        self.attributes.mark_updated("dropwise water vapour mixing ratio tendency")
+
         # TODO #1524 - should we update here?
         # self.update_TpRH(only_if_not_last='VapourDepositionOnIce')
 
@@ -565,3 +582,70 @@ def thaw_instantaneous(self):
             cell=self.attributes["cell id"],
             temperature=self.environment["T"],
         )
+
+    #############
+
+    # here happens condenstion
+
+    def drop_local_thermodynamics(
+        self, relaxed: bool
+    ):  # TODO: rename to feature "relaxation"
+        tau = (
+            self.formulae.turbulent_relaxation_timescale.tau(np.nan, np.nan)
+            if relaxed
+            else self.dt
+        )
+        cell_id = self.attributes["cell id"].data
+
+        self.signed_water_mass_before_ice_depositional_growth = self.attributes[
+            "signed water mass"
+        ].data.copy()
+        for var in ("water vapour mixing ratio", "dry air potential temperature"):
+            var_dot_data = self.attributes[f"dropwise {var} tendency"].data
+            var_data = self.attributes[f"dropwise {var}"].data
+            key = var.replace("dry air potential temperature", "thd").replace(
+                " ", "_"
+            )  # TODO
+            var_env_data = self.environment.get_predicted(key).data
+            for drop_id in range(var_data.shape[0]):
+                var_dot_data[drop_id] = (
+                    -(var_data[drop_id] - var_env_data[cell_id[drop_id]]) / tau
+                )
+
+            self.attributes.mark_updated(f"dropwise {var} tendency")
+
+    # here happens depositional growth -> drop_local_tendencies updated to reflect depositional growth
+
+    # this should compute the change to drop-local q/th from all (relaxed) env-forcing, condensation and deposition
+    def apply_dropwise_thermodynamic_tendency(self):
+        for var in ("water vapour mixing ratio", "dry air potential temperature"):
+            var_dot_data = self.attributes[f"dropwise {var} tendency"].data
+            var_data = self.attributes[f"dropwise {var}"].data
+            var_data += self.dt * var_dot_data
+            self.attributes.mark_updated(f"dropwise {var}")
+
+    def update_ambient_thermodynamics_wrt_ice_growth(self):
+        # called (regardless if drop-local dynamic is enabled) from ambient thermodynamics notify()
+        cell_id = self.attributes["cell id"].data
+
+        """ effectively implements eq. C.2 from Abade & Albuquerque """
+
+        # only deposition-related change! (after merging condensation with deposition, both will be here)
+        cid = 0  # TODO !
+        delta_ice_mass = np.dot(
+            self.attributes["multiplicity"].data,
+            np.abs(self.attributes["signed water mass"].data)
+            - np.abs(self.signed_water_mass_before_ice_depositional_growth.data),
+        )
+        current_dry_air_density = self.environment["rhod"].data
+        predicted_dry_air_density = self.environment.get_predicted("rhod").data
+        mass_of_dry_air = (
+            self.environment.mesh.dv
+            * (predicted_dry_air_density[cid] + current_dry_air_density[cid])
+            / 2
+        )
+
+        self.environment.get_predicted("water_vapour_mixing_ratio").data -= (
+            delta_ice_mass / mass_of_dry_air
+        )
+        # TODO: self.environment.get_predicted("thd") +=
diff --git a/PySDM/physics/__init__.py b/PySDM/physics/__init__.py
index f2e2bfb43f..6d554e4fbf 100644
--- a/PySDM/physics/__init__.py
+++ b/PySDM/physics/__init__.py
@@ -53,5 +53,6 @@
     air_dynamic_viscosity,
     terminal_velocity,
     bulk_phase_partitioning,
+    turbulent_relaxation_timescale,
 )
 from .constants import convert_to, in_unit, si
diff --git a/PySDM/physics/constants_defaults.py b/PySDM/physics/constants_defaults.py
index 4144a04f5e..44d0b34f5c 100644
--- a/PySDM/physics/constants_defaults.py
+++ b/PySDM/physics/constants_defaults.py
@@ -727,6 +727,12 @@
 PICCIOTTO_18O_TO_2H_INTERCEPT_COEFF = -1.8 * PER_CENT
 """〃"""
 
+TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS = np.nan
+""" for use in unit tests """
+
+TURBULENT_RELAXATION_TIMESCALE_MULTIPLIER = np.nan
+""" C_tau in eq. 17 in [Abade and Albuquerque 2024](https://doi.org/10.1002/qj.4775) """
+
 
 def compute_derived_values(c: dict):
     """
diff --git a/PySDM/physics/turbulent_relaxation_timescale/__init__.py b/PySDM/physics/turbulent_relaxation_timescale/__init__.py
new file mode 100644
index 0000000000..55bc598667
--- /dev/null
+++ b/PySDM/physics/turbulent_relaxation_timescale/__init__.py
@@ -0,0 +1,3 @@
+from PySDM.impl.null_physics_class import Null
+from .constant import Constant
+from .kolmogorov_inertial_range_scaled import KolmogorovInertialRangeScaled
diff --git a/PySDM/physics/turbulent_relaxation_timescale/constant.py b/PySDM/physics/turbulent_relaxation_timescale/constant.py
new file mode 100644
index 0000000000..a8b51a5af9
--- /dev/null
+++ b/PySDM/physics/turbulent_relaxation_timescale/constant.py
@@ -0,0 +1,16 @@
+"""
+constant timescale formulation (for tests)
+"""
+
+import numpy as np
+
+
+class Constant:
+    def __init__(self, const):
+        assert np.isfinite(const.TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS)
+
+    @staticmethod
+    def tau(
+        const, linear_eddy_length_scale, tke_dissipation_rate
+    ):  # pylint: disable=unused-argument
+        return const.TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS
diff --git a/PySDM/physics/turbulent_relaxation_timescale/kolmogorov_inertial_range_scaled.py b/PySDM/physics/turbulent_relaxation_timescale/kolmogorov_inertial_range_scaled.py
new file mode 100644
index 0000000000..0bdc7aa4a4
--- /dev/null
+++ b/PySDM/physics/turbulent_relaxation_timescale/kolmogorov_inertial_range_scaled.py
@@ -0,0 +1,17 @@
+import numpy as np
+
+
+class KolmogorovInertialRangeScaled:
+    def __init__(self, const):
+        assert np.isfinite(const.TURBULENT_RELAXATION_TIMESCALE_MULTIPLIER)
+
+    @staticmethod
+    def tau(
+        const, linear_eddy_length_scale, tke_dissipation_rate
+    ):  # pylint: disable=unused-argument
+        """eqs 15 and 17 in [Abade and Albuquerque 2024](https://doi.org/10.1002/qj.4775)"""
+        return (
+            const.TURBULENT_RELAXATION_TIMESCALE_MULTIPLIER
+            * tke_dissipation_rate**-const.ONE_THIRD
+            * linear_eddy_length_scale**const.TWO_THIRDS
+        )
diff --git a/docs/bibliography.json b/docs/bibliography.json
index 60eb54447e..54123be52a 100644
--- a/docs/bibliography.json
+++ b/docs/bibliography.json
@@ -99,7 +99,10 @@
   "https://doi.org/10.1002/qj.4775": {
     "usages": [
       "examples/PySDM_examples/Abade_and_Albuquerque_2024/fig_2.ipynb",
-      "examples/PySDM_examples/Abade_and_Albuquerque_2024/__init__.py"
+      "examples/PySDM_examples/Abade_and_Albuquerque_2024/__init__.py",
+      "PySDM/physics/turbulent_relaxation_timescale/kolmogorov_inertial_range_scaled.py",
+      "PySDM/physics/constants_defaults.py",
+      "PySDM/attributes/physics/local_thermodynamics.py"
     ],
     "label": "Abade & Albuquerque 2024 (Q. J. R. Meteorol. Soc. 150)",
     "title": "Persistent mixed-phase states in adiabatic cloud parcels under idealised conditions"
diff --git a/examples/PySDM_examples/Abade_and_Albuquerque_2024/fig_2.ipynb b/examples/PySDM_examples/Abade_and_Albuquerque_2024/fig_2.ipynb
index 5c6b9eb176..e1cc169172 100644
--- a/examples/PySDM_examples/Abade_and_Albuquerque_2024/fig_2.ipynb
+++ b/examples/PySDM_examples/Abade_and_Albuquerque_2024/fig_2.ipynb
@@ -25,8 +25,10 @@
     "- extending the analysis to depict how the results differ depending on the vertical velocity (cooling rate)\n",
     "\n",
     "TODO #1656:\n",
+    "- plot adaptive timestep diagnostics\n",
     "- extend to show how the monodisperse vs. polydisperse INP size spectrum assumption changes the results\n",
-    "- extend to cover the stochastic model"
+    "- extend to cover the stochastic model\n",
+    "- discuss how the local thermodynamic vars (Qk, Tk) should be constructed to work with coagulation (same for tendencies)"
    ]
   },
   {
@@ -80,12 +82,14 @@
     "        constants={\n",
     "            \"bulk_phase_partitioning_exponent\": 0.1,\n",
     "            **FREEZING_CONSTANTS[\"dust\"],\n",
+    "            \"TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS\": 100 * si.s\n",
     "        },\n",
     "        bulk_phase_partitioning=\"KaulEtAl2015\",\n",
     "        particle_shape_and_density=\"MixedPhaseSpheres\",\n",
     "        diffusion_coordinate=\"WaterMassLogarithm\",\n",
     "        freezing_temperature_spectrum=\"Niemand_et_al_2012\",\n",
     "        heterogeneous_ice_nucleation_rate=\"ABIFM\",\n",
+    "        turbulent_relaxation_timescale=\"Constant\",\n",
     "    ),\n",
     "    override_jit_flags={\"parallel\": False}\n",
     ")"
@@ -93,36 +97,119 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 17,
    "id": "478730ad-0c93-4adf-82a1-c606fde3c0b9",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "711644582d8e41cb9de11b68db665218",
+       "model_id": "bb93e909776f4311b7237b0dd08d98d1",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "FloatProgress(value=1.0, max=39.0)"
+       "FloatProgress(value=0.0, max=75.0)"
       ]
      },
      "metadata": {},
      "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Homogeneous-64-0.5-INAS-tau\n",
+      "Homogeneous-64-0.5-INAS-tau\n",
+      "Homogeneous-64-0.5-INAS-tau\n",
+      "Homogeneous-512-0.5-INAS-tau\n",
+      "Homogeneous-512-0.5-INAS-tau\n",
+      "Homogeneous-512-0.5-INAS-tau\n",
+      "Homogeneous-64-0.5-INAS\n",
+      "Homogeneous-64-0.5-INAS\n",
+      "Homogeneous-64-0.5-INAS\n",
+      "Homogeneous-512-0.5-INAS\n",
+      "Homogeneous-512-0.5-INAS\n",
+      "Homogeneous-512-0.5-INAS\n",
+      "Homogeneous-64-0.5-ABIFM\n",
+      "Homogeneous-64-0.5-ABIFM\n",
+      "Homogeneous-64-0.5-ABIFM\n",
+      "Homogeneous-512-0.5-ABIFM\n",
+      "Homogeneous-512-0.5-ABIFM\n",
+      "Homogeneous-512-0.5-ABIFM\n",
+      "Homogeneous-64-0.5-ABIFM-tau\n",
+      "Homogeneous-64-0.5-ABIFM-tau\n",
+      "Homogeneous-64-0.5-ABIFM-tau\n",
+      "Homogeneous-512-0.5-ABIFM-tau\n",
+      "Homogeneous-512-0.5-ABIFM-tau\n",
+      "Homogeneous-512-0.5-ABIFM-tau\n",
+      "Homogeneous-64-1.0-INAS-tau\n",
+      "Homogeneous-64-1.0-INAS-tau\n",
+      "Homogeneous-64-1.0-INAS-tau\n",
+      "Homogeneous-512-1.0-INAS-tau\n",
+      "Homogeneous-512-1.0-INAS-tau\n",
+      "Homogeneous-512-1.0-INAS-tau\n",
+      "Homogeneous-64-1.0-INAS\n",
+      "Homogeneous-64-1.0-INAS\n",
+      "Homogeneous-64-1.0-INAS\n",
+      "Homogeneous-512-1.0-INAS\n",
+      "Homogeneous-512-1.0-INAS\n",
+      "Homogeneous-512-1.0-INAS\n",
+      "Homogeneous-64-1.0-ABIFM\n",
+      "Homogeneous-64-1.0-ABIFM\n",
+      "Homogeneous-64-1.0-ABIFM\n",
+      "Homogeneous-512-1.0-ABIFM\n",
+      "Homogeneous-512-1.0-ABIFM\n",
+      "Homogeneous-512-1.0-ABIFM\n",
+      "Homogeneous-64-1.0-ABIFM-tau\n",
+      "Homogeneous-64-1.0-ABIFM-tau\n",
+      "Homogeneous-64-1.0-ABIFM-tau\n",
+      "Homogeneous-512-1.0-ABIFM-tau\n",
+      "Homogeneous-512-1.0-ABIFM-tau\n",
+      "Homogeneous-512-1.0-ABIFM-tau\n",
+      "Homogeneous-64-2.0-INAS-tau\n",
+      "Homogeneous-64-2.0-INAS-tau\n",
+      "Homogeneous-64-2.0-INAS-tau\n",
+      "Homogeneous-512-2.0-INAS-tau\n",
+      "Homogeneous-512-2.0-INAS-tau\n",
+      "Homogeneous-512-2.0-INAS-tau\n",
+      "Homogeneous-64-2.0-INAS\n",
+      "Homogeneous-64-2.0-INAS\n",
+      "Homogeneous-64-2.0-INAS\n",
+      "Homogeneous-512-2.0-INAS\n",
+      "Homogeneous-512-2.0-INAS\n",
+      "Homogeneous-512-2.0-INAS\n",
+      "Homogeneous-64-2.0-ABIFM\n",
+      "Homogeneous-64-2.0-ABIFM\n",
+      "Homogeneous-64-2.0-ABIFM\n",
+      "Homogeneous-512-2.0-ABIFM\n",
+      "Homogeneous-512-2.0-ABIFM\n",
+      "Homogeneous-512-2.0-ABIFM\n",
+      "Homogeneous-64-2.0-ABIFM-tau\n",
+      "Homogeneous-64-2.0-ABIFM-tau\n",
+      "Homogeneous-64-2.0-ABIFM-tau\n",
+      "Homogeneous-512-2.0-ABIFM-tau\n",
+      "Homogeneous-512-2.0-ABIFM-tau\n",
+      "Homogeneous-512-2.0-ABIFM-tau\n"
+     ]
     }
    ],
    "source": [
     "CI = 'CI' in os.environ\n",
     "n_realisations = 3 if not CI else 1\n",
     "n_sds = (64, 512) if not CI else (64,) # PAPER: \"on the order of 1e6\"\n",
-    "updrafts = (3.6, 1.2, .4) if not CI else (3.6,.4) # PAPER: 0.5 m/s\n",
+    "updrafts = (.5, 1., 2.) if not CI else (.4, 3.6) # PAPER: 0.5 m/s\n",
+    "setups = {\n",
+    "    (True, True): 'INAS-tau',\n",
+    "    (True, False): 'INAS',\n",
+    "    (False, False): 'ABIFM',\n",
+    "    (False, True): 'ABIFM-tau',\n",
+    "}\n",
     "\n",
     "dz_out = 100 * si.s\n",
-    "timestep = 1 * si.s\n",
+    "z_step = 1 * si.m\n",
     "z_max = 3 * si.km\n",
-    "display(progbar := FloatProgress(value=1, max=(1 + 2 * n_realisations * len(n_sds)) * len(updrafts)))\n",
-    "\n",
+    "display(progbar := FloatProgress(value=0, max=(1 + len(setups) * n_realisations * len(n_sds)) * len(updrafts)))\n",
     "\n",
     "settings_commons_part = {\n",
     "    'enable_immersion_freezing': True,\n",
@@ -131,46 +218,49 @@
     "\n",
     "datasets = {}\n",
     "for updraft in updrafts:\n",
+    "    timestep = z_step / updraft\n",
     "    t_max = z_max / updraft\n",
     "    settings_commons = {\n",
     "        'updraft': updraft,\n",
     "        'timestep': timestep,\n",
     "        'backend': backend,\n",
-    "        'inp_frac': .5, # PAPER: .1\n",
+    "        'inp_frac': .5, # PAPER: .1  - TODO\n",
     "    }\n",
     "    run_args = {\n",
     "        'nt': int(t_max / timestep),\n",
     "        'steps_per_output_interval': int(dz_out / updraft / timestep),\n",
     "    }\n",
-    "    progbar.description = f'Bulk-{updraft}'\n",
-    "    datasets[f'Bulk-{updraft}'] = {'realisations': [Simulation(Settings(\n",
-    "        **settings_commons,\n",
-    "        n_sd=1,\n",
-    "        enable_immersion_freezing=False,\n",
-    "        enable_vapour_deposition_on_ice=False,\n",
-    "    )).run(**run_args)]}\n",
-    "    progbar.value += 1\n",
-    "    for singular, label in {True: 'INAS', False: 'ABIFM'}.items():\n",
+    "    for (singular, relaxed), label in setups.items():\n",
     "        for n_sd in n_sds:\n",
-    "            datasets[(key := f'Homogeneous-{label}-{n_sd}-{updraft}')] = {'realisations': []}\n",
+    "            datasets[(key := f'Homogeneous-{n_sd}-{updraft}-{label}')] = {'realisations': []}\n",
     "            backend.formulae.seed = 0\n",
     "            for i in range(n_realisations):\n",
-    "                progbar.description = '...' + key[-3:] + f'-{i}-{updraft}'\n",
+    "                print(key)\n",
+    "                progbar.description = '...' + key[-7:]\n",
     "                datasets[key]['realisations'].append(\n",
     "                    Simulation(Settings(\n",
     "                        **settings_commons,\n",
     "                        **settings_commons_part,\n",
     "                        n_sd=n_sd,\n",
-    "                        singular=singular\n",
+    "                        singular=singular,\n",
+    "                        relaxed=relaxed,\n",
     "                    )).run(**run_args)\n",
     "                )\n",
-    "                backend.formulae.seed += 1\n",
-    "                progbar.value += 1"
+    "                backend.formulae.seed += 10\n",
+    "                progbar.value += 1\n",
+    "    progbar.description = f'Bulk-{updraft}'\n",
+    "    datasets[f'Bulk-{updraft}'] = {'realisations': [Simulation(Settings(\n",
+    "        **settings_commons,\n",
+    "        n_sd=1,\n",
+    "        enable_immersion_freezing=False,\n",
+    "        enable_vapour_deposition_on_ice=False,\n",
+    "    )).run(**run_args)]}\n",
+    "    progbar.value += 1"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 18,
    "id": "b7abadbe-aa26-433d-9a9a-1984e3360db5",
    "metadata": {},
    "outputs": [],
@@ -261,7 +351,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 19,
    "id": "721e5606-9e19-44b9-87f3-cba86b54574e",
    "metadata": {},
    "outputs": [
@@ -276,11 +366,11 @@
        "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
        "   <cc:Work>\n",
        "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
-       "    <dc:date>2025-07-09T00:10:08.228100</dc:date>\n",
+       "    <dc:date>2025-07-15T14:51:33.745042</dc:date>\n",
        "    <dc:format>image/svg+xml</dc:format>\n",
        "    <dc:creator>\n",
        "     <cc:Agent>\n",
-       "      <dc:title>Matplotlib v3.8.1, https://matplotlib.org/</dc:title>\n",
+       "      <dc:title>Matplotlib v3.9.4, https://matplotlib.org/</dc:title>\n",
        "     </cc:Agent>\n",
        "    </dc:creator>\n",
        "   </cc:Work>\n",
@@ -301,8 +391,8 @@
        "  <g id=\"axes_1\">\n",
        "   <g id=\"patch_2\">\n",
        "    <path d=\"M 43.78125 185.425309 \n",
-       "L 230.218229 185.425309 \n",
-       "L 230.218229 22.318125 \n",
+       "L 144.452187 185.425309 \n",
+       "L 144.452187 22.318125 \n",
        "L 43.78125 22.318125 \n",
        "z\n",
        "\" style=\"fill: #ffffff\"/>\n",
@@ -310,60 +400,36 @@
        "   <g id=\"matplotlib.axis_1\">\n",
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        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_43\">\n",
+       "     <g id=\"text_55\">\n",
        "      <!-- -17.8 -->\n",
        "      <g transform=\"translate(666.048437 271.053749) scale(0.1 -0.1)\">\n",
        "       <defs>\n",
@@ -19116,15 +31285,47 @@
        "      </g>\n",
        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_30\">\n",
-       "     <g id=\"line2d_185\">\n",
+       "    <g id=\"ytick_50\">\n",
+       "     <g id=\"line2d_301\">\n",
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        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_44\">\n",
+       "     <g id=\"text_56\">\n",
        "      <!-- -19.8 -->\n",
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@@ -19133,13 +31334,13 @@
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        "    </g>\n",
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-       "       <use xlink:href=\"#m4db72f611d\" x=\"659.048437\" y=\"231.00849\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m71f55c1d7b\" x=\"659.048437\" y=\"231.00849\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_45\">\n",
+       "     <g id=\"text_57\">\n",
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        "      <g transform=\"translate(666.048437 234.807709) scale(0.1 -0.1)\">\n",
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@@ -19150,13 +31351,13 @@
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        "    </g>\n",
-       "    <g id=\"ytick_32\">\n",
-       "     <g id=\"line2d_187\">\n",
+       "    <g id=\"ytick_52\">\n",
+       "     <g id=\"line2d_303\">\n",
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-       "       <use xlink:href=\"#m4db72f611d\" x=\"659.048437\" y=\"212.885469\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
+       "       <use xlink:href=\"#m71f55c1d7b\" x=\"659.048437\" y=\"212.885469\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n",
        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_46\">\n",
+       "     <g id=\"text_58\">\n",
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@@ -19167,13 +31368,13 @@
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        "    </g>\n",
-       "    <g id=\"ytick_33\">\n",
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+       "    <g id=\"ytick_53\">\n",
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        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_47\">\n",
+       "     <g id=\"text_59\">\n",
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@@ -19184,13 +31385,13 @@
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        "    </g>\n",
-       "    <g id=\"ytick_34\">\n",
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        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_48\">\n",
+       "     <g id=\"text_60\">\n",
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@@ -19201,24 +31402,24 @@
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        "     </g>\n",
        "    </g>\n",
-       "    <g id=\"ytick_35\">\n",
-       "     <g id=\"line2d_190\">\n",
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        "      </g>\n",
        "     </g>\n",
-       "     <g id=\"text_49\">\n",
-       "      <!-- -30.5 -->\n",
+       "     <g id=\"text_61\">\n",
+       "      <!-- -30.6 -->\n",
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        "    </g>\n",
-       "    <g id=\"text_50\">\n",
+       "    <g id=\"text_62\">\n",
        "     <!-- Temperature [°C] -->\n",
        "     <g transform=\"translate(703.520313 283.221562) rotate(-90) scale(0.1 -0.1)\">\n",
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@@ -19319,49 +31520,61 @@
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        "   </g>\n",
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+       "   <rect x=\"172.430312\" y=\"294.714691\" width=\"100.670937\" height=\"163.107184\"/>\n",
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+       "   <rect x=\"301.079375\" y=\"294.714691\" width=\"100.670937\" height=\"163.107184\"/>\n",
+       "  </clipPath>\n",
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+       "   <rect x=\"429.728437\" y=\"294.714691\" width=\"100.670938\" height=\"163.107184\"/>\n",
        "  </clipPath>\n",
        " </defs>\n",
        "</svg>\n"
       ],
       "text/plain": [
-       "<Figure size 1000x700 with 6 Axes>"
+       "<Figure size 1000x700 with 10 Axes>"
       ]
      },
      "metadata": {},
@@ -19370,12 +31583,12 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "9ecad07aa7474446a95ceaab8679924d",
+       "model_id": "96a6a8e4879c44ee8566181e2b79e0b7",
        "version_major": 2,
        "version_minor": 0
       },
       "text/plain": [
-       "HBox(children=(HTML(value=\"<a href='./fig_2-updraft=0.4.pdf' target='_blank'>./fig_2-updraft=0.4.pdf</a><br>\")…"
+       "HBox(children=(HTML(value=\"<a href='./fig_2-updraft=2.0.pdf' target='_blank'>./fig_2-updraft=2.0.pdf</a><br>\")…"
       ]
      },
      "metadata": {},
@@ -19385,10 +31598,10 @@
    "source": [
     "for updraft in updrafts:\n",
     "    fig, axs = pyplot.subplot_mosaic(\n",
-    "        \"\"\"AB.\n",
-    "           ABG\n",
-    "           DEG\n",
-    "           DE.\n",
+    "        \"\"\"ABCD.\n",
+    "           ABCDX\n",
+    "           EFGHX\n",
+    "           EFGH.\n",
     "        \"\"\",\n",
     "        figsize=(10, 7),\n",
     "        sharex=True,\n",
@@ -19400,19 +31613,29 @@
     "    \n",
     "    for label, model, index in (\n",
     "        (\"A\", \"INAS\", 0),\n",
-    "        (\"B\", \"INAS\", 1),\n",
-    "        (\"D\", \"ABIFM\", 0),\n",
-    "        (\"E\", \"ABIFM\", 1),\n",
+    "        (\"E\", \"INAS\", 1),\n",
+    "        (\"B\", \"INAS-tau\", 0),\n",
+    "        (\"F\", \"INAS-tau\", 1),\n",
+    "        (\"C\", \"ABIFM\", 0),\n",
+    "        (\"G\", \"ABIFM\", 1),\n",
+    "        (\"D\", \"ABIFM-tau\", 0),\n",
+    "        (\"H\", \"ABIFM-tau\", 1),\n",
     "    ):\n",
     "        if index + 1 > len(n_sds):\n",
     "            continue\n",
     "        n_sd = n_sds[index]\n",
     "        axs[label].set_title(f\"{model} {n_sd} SDs\")\n",
-    "        plot_part(axs[label], datasets[f'Homogeneous-{model}-{n_sd}-{updraft}'])\n",
+    "        plot_part(axs[label], datasets[f'Homogeneous-{n_sd}-{updraft}-{model}'])\n",
     "    \n",
-    "    axs[\"G\"].set_title(\"Bulk/Kaul et al. '15\")\n",
-    "    plot_bulk(axs[\"G\"], datasets[f'Bulk-{updraft}']['realisations'][0])\n",
-    "    axs[\"G\"].text(x=0, y=3.45, s=f\"w={updraft} m/s\", color='red', size=16)\n",
+    "    axs[\"X\"].set_title(\"Bulk (Kaul et al. '15)\")\n",
+    "    plot_bulk(axs[\"X\"], datasets[f'Bulk-{updraft}']['realisations'][0])\n",
+    "    axs[\"X\"].text(\n",
+    "        x=0,\n",
+    "        y=3.45,\n",
+    "        s=f\"w={updraft} m/s\\nτ={backend.formulae.constants.TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS:g} s\",\n",
+    "        color='red',\n",
+    "        size=16\n",
+    "    )\n",
     "    show_plot(f'fig_2-updraft={updraft}.pdf')"
    ]
   },
diff --git a/examples/PySDM_examples/Abade_and_Albuquerque_2024/settings.py b/examples/PySDM_examples/Abade_and_Albuquerque_2024/settings.py
index b39684bc4f..5c6e52e89c 100644
--- a/examples/PySDM_examples/Abade_and_Albuquerque_2024/settings.py
+++ b/examples/PySDM_examples/Abade_and_Albuquerque_2024/settings.py
@@ -15,6 +15,7 @@ def __init__(
         timestep: float,
         # default values correspond to paper settings
         singular: bool = True,
+        relaxed: bool = False,
         enable_immersion_freezing: bool = True,
         enable_vapour_deposition_on_ice: bool = True,
         inp_frac: float = 0.1,
@@ -27,6 +28,7 @@ def __init__(
         self.enable_immersion_freezing = enable_immersion_freezing
         self.enable_vapour_deposition_on_ice = enable_vapour_deposition_on_ice
         self.singular = singular
+        self.relaxed = relaxed
         self.initial_total_pressure = 1000 * si.hPa  # note: not given in the paper
 
         self.initial_water_vapour_mixing_ratio = 1.5 * si.g / si.kg
diff --git a/examples/PySDM_examples/Abade_and_Albuquerque_2024/simulation.py b/examples/PySDM_examples/Abade_and_Albuquerque_2024/simulation.py
index 3838804104..d5056c16df 100644
--- a/examples/PySDM_examples/Abade_and_Albuquerque_2024/simulation.py
+++ b/examples/PySDM_examples/Abade_and_Albuquerque_2024/simulation.py
@@ -8,6 +8,7 @@
     AmbientThermodynamics,
     VapourDepositionOnIce,
     Freezing,
+    DropLocalThermodynamics,
 )
 from PySDM.initialisation.sampling.spectral_sampling import ConstantMultiplicity
 from PySDM.products import (
@@ -35,9 +36,14 @@ def __init__(self, settings):
                 mixed_phase=True,
             ),
         )
-        builder.add_dynamic(AmbientThermodynamics())
+        builder.add_dynamic(AmbientThermodynamics(relaxed=settings.relaxed))
         builder.add_dynamic(Condensation())
 
+        if settings.relaxed:
+            builder.add_dynamic(
+                DropLocalThermodynamics()
+            )  # TODO: this is here only to pick correct attribute impls
+
         if settings.enable_immersion_freezing:
             builder.add_dynamic(
                 Freezing(
diff --git a/tests/unit_tests/dynamics/test_drop_local_thermodynamics.py b/tests/unit_tests/dynamics/test_drop_local_thermodynamics.py
new file mode 100644
index 0000000000..3e15448074
--- /dev/null
+++ b/tests/unit_tests/dynamics/test_drop_local_thermodynamics.py
@@ -0,0 +1,72 @@
+import numpy as np
+import pytest
+
+from PySDM.dynamics import (
+    DropLocalThermodynamics,
+    VapourDepositionOnIce,
+    AmbientThermodynamics,
+)
+from PySDM import Builder, Formulae
+from PySDM.physics import si
+
+from tests.unit_tests.dynamics.test_vapour_deposition_on_ice import MoistBox
+
+
+@pytest.mark.parametrize(
+    "tau, fraction_at_t0",
+    (
+        (123 * si.s, 1),
+        (666 * si.s, 0.9),
+        (44 * si.s, 0.9),
+        (666 * si.s, 1.1),
+        (44 * si.s, 1.1),
+    ),
+)
+def test_drop_local_thermodynamics_for_constant_tau(tau, fraction_at_t0, backend_class):
+    if backend_class.__name__ == "ThrustRTC":
+        pytest.skip()  # TODO
+
+    # arrange
+    n_sd = 3
+    r0 = 12.345 * si.g / si.kg
+    dt = 0.6789 * si.s
+
+    formulae = Formulae(
+        turbulent_relaxation_timescale="Constant",
+        constants={"TURBULENT_RELAXATION_TIMESCALE_FOR_TESTS": tau},
+    )
+    builder = Builder(
+        n_sd=n_sd,
+        backend=backend_class(formulae),
+        environment=MoistBox(dt=dt, dv=np.nan),
+    )
+    builder.add_dynamic(AmbientThermodynamics())
+    builder.add_dynamic(DropLocalThermodynamics())
+    particulator = builder.build(
+        products=(),
+        attributes={
+            "multiplicity": np.asarray([1, 2, 3]),
+            "signed water mass": np.asarray([1, 2, 3]) * si.ng,
+        },
+    )
+    particulator.environment["water_vapour_mixing_ratio"] = np.nan
+    particulator.environment["thd"] = np.nan
+
+    # act
+    particulator.run(steps=0)
+    particulator.environment["water_vapour_mixing_ratio"] = r0
+    particulator.attributes["dropwise water vapour mixing ratio"].data[:] = (
+        fraction_at_t0 * r0
+    )
+    particulator.run(steps=1)
+
+    # assert
+    r1 = particulator.attributes["dropwise water vapour mixing ratio"].to_ndarray()
+    if fraction_at_t0 == 1:
+        assert (r1 == r0).all()
+    else:
+        assert (r1 != r0).all()
+    np.testing.assert_allclose(
+        actual=(r1 - fraction_at_t0 * r0) / dt,
+        desired=-r0 * (fraction_at_t0 - 1) / tau,
+    )
diff --git a/tests/unit_tests/dynamics/test_vapour_deposition_on_ice.py b/tests/unit_tests/dynamics/test_vapour_deposition_on_ice.py
index 842541691c..6b15722f80 100644
--- a/tests/unit_tests/dynamics/test_vapour_deposition_on_ice.py
+++ b/tests/unit_tests/dynamics/test_vapour_deposition_on_ice.py
@@ -139,8 +139,9 @@ class TestVapourDepositionOnIce:
     @pytest.mark.parametrize("RHi", (1.1, 1.0, 0.9))
     @pytest.mark.parametrize("diffusion_coordinate", DIFFUSION_COORDINATES)
     @pytest.mark.parametrize("diffusion_ice_capacity", DIFFUSION_ICE_CAPACITIES)
+    @pytest.mark.parametrize("adaptive", (False, True))
     def test_iwc_differs_after_one_timestep(
-        *, water_mass, RHi, diffusion_coordinate, diffusion_ice_capacity
+        *, water_mass, RHi, diffusion_coordinate, diffusion_ice_capacity, adaptive
     ):
         """sanity checks for sign of changes in IWC and ambient thermodynamics"""
         # arrange
@@ -152,6 +153,7 @@ def test_iwc_differs_after_one_timestep(
             signed_water_masses=[water_mass],
             RH_ice=RHi,
             dt=0.1 * si.s,
+            adaptive=adaptive,
         )
         rv0 = particulator.environment["water_vapour_mixing_ratio"][0]
         thd0 = particulator.environment["thd"][0]
diff --git a/tests/unit_tests/physics/test_turbulent_relaxation_timescale.py b/tests/unit_tests/physics/test_turbulent_relaxation_timescale.py
new file mode 100644
index 0000000000..2a36ac5a87
--- /dev/null
+++ b/tests/unit_tests/physics/test_turbulent_relaxation_timescale.py
@@ -0,0 +1,31 @@
+import numpy as np
+import pytest
+
+from PySDM.physics import turbulent_relaxation_timescale, constants_defaults
+from PySDM.physics.dimensional_analysis import DimensionalAnalysis
+from PySDM import Formulae
+
+
+class TestTurbulentRelaxationTimescale:
+    @staticmethod
+    @pytest.mark.parametrize(
+        "constants", ({}, {"TURBULENT_RELAXATION_TIMESCALE_MULTIPLIER": 1})
+    )
+    def test_kolmogorov_inertial_range_scaling_and_unit(constants):
+        with DimensionalAnalysis():
+            # arrange
+            formulae = Formulae(constants=constants)
+            si = constants_defaults.si
+            eddy_length_scale = 666 * si.m
+            tke_dissipation_rate = 0.44e-3 * si.m**2 / si.s**3
+            sut = turbulent_relaxation_timescale.KolmogorovInertialRangeScaled.tau
+
+            # act
+            tau = sut(formulae.constants, eddy_length_scale, tke_dissipation_rate)
+
+            # assert
+            if "TURBULENT_RELAXATION_TIMESCALE_MULTIPLIER" not in constants:
+                assert np.isnan(tau)
+            else:
+                assert np.isfinite(tau)
+            assert tau.check("[time]")