Net-Baryon Number Probability Distribution As an Indicator of Phase Transition

TL;DR

This paper investigates how the probability distribution of net-baryon number can signal phase transitions in nuclear matter, using the Cluster Expansion Model and extrapolations to low temperatures, revealing changes in distribution behavior near phase transitions.

Contribution

It introduces an analysis of net-baryon number probability distributions as indicators of phase transitions using the Cluster Expansion Model and its extensions.

Findings

The probability mass function's decrease rate diminishes with temperature.

Distribution behavior aligns with phase transition signals at high baryon chemical potentials.

Results suggest a link between distribution patterns and phase transition phenomena.

Abstract

The net-baryon number probability distribution and the related pressure and density are studied in the Cluster Expansion Model (CEM) and the obtained results are extrapolated to the domain of low temperatures. It is found that the rate of decrease of the net-baryon number probability mass function diminishes with the temperature and, in the extensions of the CEM, falls to the level consistent with the phase transition at large baryon chemical potentials.