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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.