ZB 10 - Soft Condensed Matter (R. Holyst)

Minimization of the Renyi entropy production in the stationary states of the Brownian process with matched death and birth rates

Author(s): Cybulski, O and Babin, V and Holyst, R
Title: Minimization of the Renyi entropy production in the stationary states of the Brownian process with matched death and birth rates
Abstract: We analyze the Fleming-Viot process. The system is confined in a box, boundaries act as a sink of Brownian particles. The death rate at boundaries is matched by the branching (birth) rate in the system thus the number of particles is kept constant. We show that such a is described by the Renyi entropy whose production is minimized the stationary state. The entropy production in this process is a decreasing function of time irrespective of the initial The first Laplacian eigenvalue is shown to be equal to the entropy production in the stationary state. As an example we simulate the process in a two-dimensional box.
Journal: PHYSICAL REVIEW E
Volume: 69
ID: ISI:000188946700012
Year: 2004
DOI: 10.1103/PhysRevE.69.016110