Generalized susceptibilities along the phase boundary of the three-dimensional, three-state Potts model

TL;DR

This study uses Monte Carlo simulations to analyze generalized susceptibilities in the 3D, 3-state Potts model, revealing non-monotonic fluctuations near phase transitions and crossovers, and providing finite-size scaling insights.

Contribution

It presents a detailed finite-size scaling analysis of susceptibilities in the 3D, 3-state Potts model, highlighting fluctuation patterns across different types of phase transitions.

Findings

Peak-like fluctuations in second-order susceptibility at various external fields.

Oscillation-like fluctuations in third and fourth order susceptibilities.

Finite-size scaling exponents characterize the nature of phase transitions.

Abstract

Through the Monte Carlo simulation of the three-dimensional, three-state Potts model, which is a paradigm of finite-temperature pure gauge QCD, we study the fluctuations of generalized susceptibilities near the temperatures of external fields of first-, second-order phase transitions and crossover. Similar peak-like fluctuation appears in the second order susceptibility at three given external fields. Oscillation-like fluctuation appears in the third and fourth order susceptibilities. We find that these non-monotonic fluctuations are not only associated with the second-order phase transition, but also the first-order one and crossover in a system of finite-size. We further present the finite-size scaling analysis of the second and fourth order susceptibilities, respectively. The exponent of the scaling characterizes the order of the transitions, or the crossover.