The world according to Renyi: thermodynamics of fractal systems

被引：0

作者：

Jizba, P ^{[1
]}

Arimitsu, T ^{[1
]}

机构：

[1] Univ Tsukuba, Inst Theoret Phys, Tsukuba, Ibaraki 3058571, Japan

来源：

NONEQUILIBRIUM AND NONLINEAR DYNAMICS IN NUCLEAR AND OTHER FINITE SYSTEMS | 2001年 / 597卷

关键词：

D O I：

暂无

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We discus 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(a) and clarify a relationship with the Tsailis-Havrda-Charvat entropy. Finally, we generalize Hagedorn's statistical theory and apply it to high-energy particle collisions.

引用

页码：341 / 348

页数：8

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