1999/05/05 by Damian H. Zanette
Physics and Astronomy · #cond-mat.stat-mech #adap-org #nlin.AO
paper · pdf · doi:10.1590/s0103-97331999000100010
13 pages, 8 figures; to appear in special issue of Braz. J. Phys. as invited review
arxiv created 1999/05/05 · arxiv updated 2015/06/25
It is shown that Tsallis' generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion. Within this generalized theory, a maximum-entropy formalism makes it possible to derive a mathematical formulation for the mechanisms that underly Levy-like superdiffusion, and for solving the nonlinear Fokker-Planck equation.