Statistical-thermodynamical foundations of anomalous diffusion
Statistical Mechanics
2015-06-25 v1 adap-org
Adaptation and Self-Organizing Systems
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.
Cite
@article{arxiv.cond-mat/9905064,
title = {Statistical-thermodynamical foundations of anomalous diffusion},
author = {Damian H. Zanette},
journal= {arXiv preprint arXiv:cond-mat/9905064},
year = {2015}
}
Comments
13 pages, 8 figures; to appear in special issue of Braz. J. Phys. as invited review