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arXiv · 0809.4675

Abstract composition rule for relativistic kinetic energy in the thermodynamical limit

T. S. Biro
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Abstract

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.

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T. S. Biro. 2008-09-26. Abstract composition rule for relativistic kinetic energy in the thermodynamical limit. https://doi.org/10.1209/0295-5075/84/56003

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