期刊
EPL
卷 84, 期 5, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/84/56003
关键词
-
资金
- Hungarian National Science Fund [K49466, K68108]
We demonstrate by simple mathematical considerations that a power-law-tailed distribution in the kinetic energy of relativistic particles can be a limiting distribution seen in relativistic heavy-ion experiments. We prove that the infinite repetition of an arbitrary composition rule on an infinitesimal amount leads to a rule with a formal logarithm. As a consequence the stationary distribution of energy in the thermodynamical limit follows the composed function of the Boltzmann-Gibbs exponential with this formal logarithm. In particular, interactions described as solely functions of the relative four-momentum squared lead to kinetic energy distributions of the Tsallis-Pareto (cut power law) form in the high-energy limit. Copyright (C) EPLA, 2008
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