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Statistical-thermodynamical foundations of anomalous diffusion

Damian H. Zanette

Published 1999-05-05Version 1

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.

Comments: 13 pages, 8 figures; to appear in special issue of Braz. J. Phys. as invited review
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