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Monte Carlo simulation of ice models

G. T. Barkema, M. E. J. Newman

cond-mat.stat-mecharXiv:cond-mat/9706190

Abstract

We propose a number of Monte Carlo algorithms for the simulation of ice models and compare their efficiency. One of them, a cluster algorithm for the equivalent three colour model, appears to have a dynamic exponent close to zero, making it particularly useful for simulations of critical ice models. We have performed extensive simulations using our algorithms to determine a number of critical exponents for the square ice and F models.

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