Generalized susceptibilities along the phase boundary of the three-dimensional, three-state Potts model
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.
Keywords
Cite
@article{arxiv.1407.7957,
title = {Generalized susceptibilities along the phase boundary of the three-dimensional, three-state Potts model},
author = {Xue Pan and Mingmei Xu and Yuanfang Wu},
journal= {arXiv preprint arXiv:1407.7957},
year = {2015}
}
Comments
9 pages, 5 figures