Anomalous Entropy Production of a Brownian particle: The General Case

by Raffaele Marino (Nordita)

Tuesday 9 Dec 2014, 13:30 → 14:30 Europe/Stockholm

122:026

The theory of Brownian motion describes the dynamics of a particle suspended on a fluid. The dynamics of the particle, which obeys to the principles of classical mechanics, is described by stochastic second-order differential equations. However, when the mass of the particle is small or the friction is large the inertial terms can be neglected and the fundamental equations are reduced to first order diffusion equation. This approximation, called over-damped approximation, describes successfully the mechanics on the microscopic scale at equilibrium. Far from equilibrium, e.g. when the temperature field varies in space, the over-damped approximation fails in the estimation of the entropy production. Indeed in the small inertia limit the entropy production shows a new non negligible term: the anomalous entropy production. In this talk we will show the structure of the anomalous entropy production for a general Brownian particle with translational and rotational motion, subjected to a temperature field, which varies in space.