Near and Far from Equilibrium Power-Law Statistics

TL;DR

This paper explores the relationship between transverse momentum and multiplicity distributions using a statistical approach, linking Tsallis parameters to physical properties and analyzing equilibrium and non-equilibrium scenarios in particle hadronization.

Contribution

It introduces a framework connecting Tsallis parameters to physical observables and reviews master equations for particle number probabilities in hadronization processes.

Findings

Connection established between Tsallis parameters and physical properties.

Analysis of equilibrium and non-equilibrium scenarios in particle production.

Insights into the statistical nature of multiplicity distributions.

Abstract

We analyze the connection between $p_T$ and multiplicity distributions in a statistical framework. We connect the Tsallis parameters, $T$ and $q$, to physical properties like average energy per particle and the second scaled factorial moment, $F_2=\langle n(n-1) \rangle / {\langle n \rangle}^2$, measured in multiplicity distributions. Near and far from equilibrium scenarios with master equations for the probability of having $n$ particles, $P_n$, are reviewed based on hadronization transition rates, $\mu_n$, from $n$ to $n+1$ particles.