Statistical-thermodynamical foundations of anomalous diffusion
arXiv:cond-mat/9905064 · doi:10.1590/S0103-97331999000100010
Abstract
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.
13 pages, 8 figures; to appear in special issue of Braz. J. Phys. as invited review
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