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The world according to Renyi: thermodynamics of fractal systems

Petr Jizba·Toshihico Arimitsu
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Abstract

We discuss a basic thermodynamic properties of systems with multifractal structure. This is possible by extending the notion of Gibbs-Shannon's entropy into more general framework - Renyi's information entropy. We show a connection of Renyi's parameter q with the multifractal singularity spectrum f(α) and clarify a relationship with the Tsallis-Havrda-Charvat entropy. Finally, we generalize Hagedorn's statistical theory and apply it to high-energy particle collisions.

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Petr Jizba, Toshihico Arimitsu. 2001-08-10. The world according to Renyi: thermodynamics of fractal systems. https://doi.org/10.1063/1.1427481

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