Abstract
We analyze the connection between pT 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, F2 = 〈n(n − 1)〉 / 〈n〉2, measured in multiplicity distributions. Near and far from equilibrium scenarios with master equations for the probability of having n particles, Pn, are reviewed based on hadronization transition rates, μn, from n to n + 1 particles.
Highlights
In this limit a set of coupled ordinary differential equations is replaced by a partial differential equation
In an avalanche type process the simplest assumptions about elementary rates in the master equation result in the exponential distribution with constant rates and in the power-law tailed Waring [2] distribution with linear preference rates. In this short paper we review relevant random filling patterns in phase space and treat thermal parameters as averages
We present master equations classified for describing dynamical stochastic processes near and far from equilibrium, and in particular analyze stationary distributions for large n
Summary
In this limit a set of coupled ordinary differential equations is replaced by a partial differential equation. In an avalanche type process the simplest assumptions about elementary rates in the master equation result in the exponential distribution with constant rates and in the power-law tailed Waring [2] distribution with linear preference rates. We present master equations classified for describing dynamical stochastic processes near and far from equilibrium, and in particular analyze stationary distributions for large n.
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