Statistical-thermodynamical foundations of anomalous diffusion

Details Statistical-thermodynamical foundations of anomalous diffusion Statistical-thermodynamical foundations of anomalous diffusion

1999-05-05

arxiv.org/abs/cond-mat/9905064v1

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

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.

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