Dynamics and thermodynamics of translational and rotational diffusion processes driven out of equilibrium
by
Raffaele Marino(KTH & Nordita)
→
Europe/Stockholm
112:028
112:028
Description
Diffusion processes play an important role in describing systems in many fields of science, as in physics, biology, finance and social science.
In this talk the dynamics and thermodynamics of diffusion processes driven out of equilibrium, at mesoscopic scale, are presented.
For dynamics, theory of Brownian motion for a particle that is able to rotate and translate in three dimensions is shown.
For thermodynamics, this talk describes how to define thermodynamics quantities at mesoscopic scale using the tools of Brownian theory. The theory of stochastic energetics and how to compute entropy production along a trajectory are presented introducing the new field of stochastic thermodynamics.
The talk also describes the multiscale method and homogenization theory.
In the first part of this talk the motion of a Brownian rigid body three dimensional space in an homogeneous thermal environment under the presence of an external force field is analyzed, using multiscale method and homogenization theory starting from an overdamped description of the translational and rotational motion. As result, effective equations describing only the translational long-term motion of the rigid body are presented. The particular case of a Brownian ellipsoid in an external tilted periodic potential is also studied.
In the last part of the talk translational and rotational motion of an ellipsoidal particle in a heterogeneous thermal environment, with a space dependent temperature field, is analyzed from the point of view of stochastic thermodynamics. It is shown how the Brownian rotational motion contributes to the entropy production, with also an additional term in the “anomalous” entropy.
