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
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D O I：
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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.
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页码：341 / 348
页数：8
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