Statistical-thermodynamical foundations of anomalous diffusion

It is shown that Tsallis's generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion. Wit hin this generalized theory, a maximum-entropy formalism makes it possible to derive a mathematical formulation for the mechanisms that underly Levy-l ike superdiffusion, and for solving the nonlinear Fokker-Planck equation.