2007/04/03 by Veit Schwammle, Evaldo M. F. Curado, Fernando D. Nobre · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.other
paper · pdf · doi:10.1140/epjb/e2007-00217-1
17 pages, submitted to Eur. Phys. J. B
arxiv created 2007/04/03 · arxiv updated 2009/12/01
A recently introduced nonlinear Fokker-Planck equation, derived directly from a master equation, comes out as a very general tool to describe phenomenologically systems presenting complex behavior, like anomalous diffusion, in the presence of external forces. Such an equation is characterized by a nonlinear diffusion term that may present, in general, two distinct powers of the probability distribution. Herein, we calculate the stationary-state distributions of this equation in some special cases, and introduce associated classes of generalized entropies in order to satisfy the H-theorem. Within this approach, the parameters associated with the transition rates of the original master-equation are related to such generalized entropies, and are shown to obey some restrictions. Some particular cases are discussed.