Volume 84, Number 5, December 2008
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||16 December 2008|
Abstract composition rule for relativistic kinetic energy in the thermodynamical limit
KFKI Research Institute for Particle and Nuclear Physics - P.O. Box 49, H-1525 Budapest, Hungary, EU
Corresponding author: firstname.lastname@example.org
Accepted: 28 October 2008
We demonstrate by simple mathematical considerations that a power-lawtailed 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.
PACS: 65.40.gd – Entropy / 25.75.Ag – Global features in relativistic heavy ion collisions
© EPLA, 2008
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