Statistical-thermodynamical foundations of anomalous diffusion
classification
❄️ cond-mat.stat-mech
adap-orgnlin.AO
keywords
anomalousdiffusiongeneralizedstatistical-thermodynamicalderivedescriptionequationfokker-planck
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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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