Abstract composition rule for relativistic kinetic energy in the thermodynamical limit

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dc.creatorBiro, T. S.
dc.date2008-09-26
dc.date.accessioned2026-07-07T12:40:19Z
dc.date.available2026-07-07T12:40:19Z
dc.descriptionWe 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.
dc.descriptionSubmitted to Europhysics Letters. LaTeX, 3 eps figures
dc.identifierhttps://arxiv.org/abs/0809.4675
dc.identifierhttp://arxiv.org/abs/0809.4675
dc.identifierEurophys.Lett.84:56003,2008
dc.identifierdoi:10.1209/0295-5075/84/56003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219411
dc.subjectNuclear Theory
dc.subjectStatistical Mechanics
dc.titleAbstract composition rule for relativistic kinetic energy in the thermodynamical limit
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