ZB 10 - Soft Condensed Matter (R. Holyst)

Pattern formation in nonextensive thermodynamics: Selection criterion based on the Renyi entropy production

Author(s): Cybulski, O and Matysiak, D and Babin, V and Holyst, R
Title: Pattern formation in nonextensive thermodynamics: Selection criterion based on the Renyi entropy production
Abstract: We analyze a system of two different types of Brownian particles in a cubic box with periodic boundary conditions. Particles of types annihilate when they come into close contact. The rate is matched by the birth rate, thus the total number of kind of particles is conserved. When in a stationary state, the is divided by an interface into two subregions, each occupied by type of particles. All possible stationary states correspond to the eigenfunctions. We show that the system evolves towards those distributions of particles which minimize the Renyi entropy In all cases, the Renyi entropy production decreases during the evolution despite the fact that the topology geometry of the interface exhibit abrupt and violent changes. (c) 2005 American Institute of Physics.
Journal: JOURNAL OF CHEMICAL PHYSICS
Volume: 122
ID: ISI:000229064600007
Year: 2005
DOI: 10.1063/1.1886728