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A Dynamic Approach to the Thermodynamics of Superdiffusion

Marco Buiatti, Paolo Grigolini, Anna Montagnini

cond-mat.stat-mecharXiv:cond-mat/9809108

Abstract

We address the problem of relating thermodynamics to mechanics in the case of microscopic dynamics without a finite time scale. The solution is obtained by expressing the Tsallis entropic index q as a function of the Levy index alpha, and using dynamical rather than probabilistic arguments.

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