A Dynamic Approach to the Thermodynamics of Superdiffusion

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.

4 pages, new revised version resubmitted to Phys. Rev. Lett

References in corpus (2)

• Nonextensivity and multifractality in low-dimensional dissipative systems
• Power-Law Sensitivity to Initial Conditions within a Logistic-like Family of Maps: Fractality and Nonextensivity

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