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arxiv: cond-mat/9809108 · v3 · submitted 1998-09-07 · ❄️ cond-mat.stat-mech

A Dynamic Approach to the Thermodynamics of Superdiffusion

Marco Buiatti (1) , Paolo Grigolini (1 , 2 , 3) , Anna Montagnini (1) ((1) Istituto di Biofisica del Consiglio Nazionale delle Ricerche , Pisa , Italy , (2) Center for Nonlinear Science
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University of North Texas Denton Texas (3) Dipartimento di Fisica dell'Universita' di Pisa Italy)
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classification ❄️ cond-mat.stat-mech
keywords indexthermodynamicsaddressalphaapproachargumentscasedynamic
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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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