First order phase transition of the q-state Potts model in two dimensions
High Energy Physics - Lattice
2017-08-23 v1
Abstract
We have calculated the large- series of the energy cumulants, the magnetization cumulants and the correlation length at the first order phase transition point both in the ordered and disordered phases for the -state Potts model in two dimensions. The series enables us to estimate the numerical values of the quantities more precisely by a factor of than the Monte Carlo simulations. From the large- series of the eigenvalues of the transfer matrix, we also find that the excited states form a continuum spectrum and there is no particle state at the first order phase transition point.
Cite
@article{arxiv.hep-lat/0007025,
title = {First order phase transition of the q-state Potts model in two dimensions},
author = {H. Arisue and K. Tabata},
journal= {arXiv preprint arXiv:hep-lat/0007025},
year = {2017}
}
Comments
9 pages, LaTex, 1 figures, Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, Guangzhou, May 2000