Monte Carlo Study of Pure-Phase Cumulants of 2D q-State Potts Models
نویسندگان
چکیده
We performed Monte Carlo simulations of the two-dimensional qstate 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 βt. By using very large systems of size 300× 300, 120× 120, and 80× 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. PACS numbers: 02.70.Lq, 64.60.Cn, 75.10.Hk To appear in J. Phys. I (France), May 1997
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