Near and Far from Equilibrium Power-Law Statistics

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, $F_2=⟨n(n-1)⟩\mathrm{/}{⟨n⟩}^2$, 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.