Non-extensive equilibration in relativistic matter

TL;DR

This paper explores non-extensive thermodynamics through composition rules and formal logarithms, applying these concepts to derive the Tsallis-Pareto distribution observed in relativistic heavy-ion collision experiments.

Contribution

It introduces a formal logarithm approach to non-extensive thermodynamics and applies it to derive distributions relevant to relativistic matter.

Findings

Derivation of stationary distributions using composition rules and formal logarithms.

Application to the Tsallis-Pareto distribution in high-energy physics.

Insight into non-extensive effects in relativistic thermodynamics.

Abstract

We present a view of the non-extensive thermodynamics based on general composition rules. A formal logarithm maps these rules to the addition, which can be used to generate stationary distributions by standard techniques. We review the most commonly used rules and as an application we discuss the Tsallis-Pareto distribution of transverse momenta of energetic hadrons, which emerge from relativistic heavy-ion collisions.