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

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

1997-01-23

arxiv.org/abs/hep-lat/9701011v1

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, LaTeX + 2 postscript figures. To appear in J. Phys. I (France), May 1997 See also http://www.cond-mat.physik.uni-m

Scientific paper

10.1051/jp1:1997183

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 $\beta_t$. By using very large systems of size 300 x 300, 120 x 120, and 80 x 80 for q=10, 15, and 20, respectively, our numerical estimates 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. I (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.

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