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ZB 10 - Soft Condensed Matter (R. Holyst)

We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!

Publication

Minimization of the Renyi entropy production in the space-partitioning process

Author(s): Cybulski, O and Babin, V and Holyst, R
Title: Minimization of the Renyi entropy production in the space-partitioning process
Abstract: The spontaneous division of space in Fleming-Viot processes is studied terms of nonextensive thermodynamics. We analyze a system of n types of Brownian particles confined in a box. Particles of types annihilate each other when they come into close contact. process of annihilation is accompanied by a simultaneous nucleation a particle of the same type, so that the number of particles of each remains constant. The system eventually reaches a stationary in which the available space is divided into n separate each occupied by particles of one type. Within each the particle density distribution minimizes the Renyi entropy We show that the sum of these entropy productions in the state is also minimized, i.e., the resulting boundaries different components adopt a configuration which minimizes the entropy production. The evolution of the system leads to of the total entropy production monotonically in time, of the initial conditions. In some circumstances, the state is not unique-the entropy production may have several minima for different configurations. In the case of a rectangular the existence and stability of different stationary states are studied as a function of the aspect ratio of the rectangle.
Journal: PHYSICAL REVIEW E
Volume: 71
ID: ISI:000228752500038
Year: 2005
DOI: 10.1103/PhysRevE.71.046130