Monte-Carlo Study of Pure-Phase Cumulants of 2D q-State Potts Models

Wolfhard Janke; Stefan Kappler

doi:doi:10.1051/jp1:1997183

Numéro		J. Phys. I France Volume 7, Numéro 5, May 1997


Page(s)		663 - 674
DOI		https://doi.org/10.1051/jp1:1997183

DOI: 10.1051/jp1:1997183
J. Phys. I France 7 (1997) 663-674

Monte-Carlo Study of Pure-Phase Cumulants of 2D q-State Potts Models

Wolfhard Janke and Stefan Kappler

Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany

(Received 5 June 1996, received in final form 9 January 1997, accepted 21 January 1997)

Abstract
We performed Monte-Carlo simulations of the two-dimensional q-state Potts model with q=10, 15, and 20 to study the energy and magnetization cumulants in the ordered and disordered phase at the first-order transition point $\beta_{\rm t}$ . By using very large systems of size $300\times 300$ , $120\times 120$ , and $80\times 80$ for q=10, 15, and 20, respectively, our numerical estimate provide practically (up to unavoidable, but very small statistical errors) exact results which can serve as a useful test of recent resummed large- q expansions for the energy cumulants by Bhattacharya et al. J. Phys. France 7 (1997) 81). Up to the third-order cumulant and down to q=10 we obtain very good agreement, and also the higher-order estimates are found to be compatible.