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

Wolfhard Janke·Stefan Kappler
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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 $β_t$. 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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Wolfhard Janke, Stefan Kappler. 1997-01-23. Monte Carlo Study of Pure-Phase Cumulants of 2D q-State Potts Models. https://doi.org/10.1051/jp1%3A1997183

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