Enhancements of high order cumulants across the 1st order phase transition boundary

TL;DR

This paper studies how high order cumulants of the sigma field are significantly enhanced during a first order phase transition, using Langevin dynamics to simulate the dynamical evolution across the transition boundary.

Contribution

It introduces a dynamical approach to analyze high order cumulants during a first order phase transition using Langevin dynamics within the linear sigma model.

Findings

High order cumulants are largely enhanced during the transition.

Supercooling effect causes the enhancement of cumulants.

Dynamical evolution differs from equilibrium predictions.

Abstract

In this proceeding, we investigate the dynamical evolution of the $\sigma$ field with a trajectory across the 1st order phase transition boundary, using Langevin dynamics from the linear sigma model. We find the high order cumulants of the $\sigma$ field are largely enhanced during the dynamical evolution, compared with the equilibrium values, due to the supercooling effect of the first order phase transition.