The world according to Renyi: thermodynamics of fractal systems

Details The world according to Renyi: thermodynamics of fractal systems The world according to Renyi: thermodynamics of fractal systems

2001-08-10

arxiv.org/abs/cond-mat/0108184v1

AIP Conf.Proc. 597 (2001) 341-348

Physics

Condensed Matter

Statistical Mechanics

8 LaTeX pages, Proc. of the International Symposium on Non-equilibrium and Nonlinear Dynamics in Nuclear and Other Finite Syst

Scientific paper

10.1063/1.1427481

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(\alpha) 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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