Dynamical and finite-size effects on the criterion of first-order phase transition

Fuente: arXiv
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Main Authors: Jiang, Lijia, Gao, Fei, Liu, Yu-xin
Format: Preprint
Published: 2023
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author Jiang, Lijia
Gao, Fei
Liu, Yu-xin
author_facet Jiang, Lijia
Gao, Fei
Liu, Yu-xin
contents To identify first-order phase transitions in the dynamical process similar to the relativistic heavy-ion collisions, we investigate the dynamical behaviors of the first-order phase transition criterion in the Fokker-Planck framework. In the thermodynamic limit, the criterion can be expressed as combinations of cumulants or coefficients of an Ising-like effective potential. Our study reveals that factors such as phase transition scenarios, initial temperature, system volume, relaxation rate, and evolution trajectory have great impacts on the criterion, a larger initial temperature, a smaller volume, a larger relaxation rate, or bending of the trajectory will all lead to a reduction of the first-order phase transition signal, while volume expansion over time preserves signal integrity. Analysis along a hypothetical freezeout line shows that the signal is possibly preserved at relatively large chemical potentials.
format Preprint
id arxiv_https___arxiv_org_abs_2310_15770
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dynamical and finite-size effects on the criterion of first-order phase transition
Jiang, Lijia
Gao, Fei
Liu, Yu-xin
Nuclear Theory
High Energy Physics - Phenomenology
To identify first-order phase transitions in the dynamical process similar to the relativistic heavy-ion collisions, we investigate the dynamical behaviors of the first-order phase transition criterion in the Fokker-Planck framework. In the thermodynamic limit, the criterion can be expressed as combinations of cumulants or coefficients of an Ising-like effective potential. Our study reveals that factors such as phase transition scenarios, initial temperature, system volume, relaxation rate, and evolution trajectory have great impacts on the criterion, a larger initial temperature, a smaller volume, a larger relaxation rate, or bending of the trajectory will all lead to a reduction of the first-order phase transition signal, while volume expansion over time preserves signal integrity. Analysis along a hypothetical freezeout line shows that the signal is possibly preserved at relatively large chemical potentials.
title Dynamical and finite-size effects on the criterion of first-order phase transition
topic Nuclear Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2310.15770