Monte Carlo simulation of ice models

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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32 pages including 15 postscript figures, typeset in LaTeX2e using the Elsevier macro package elsart.cls

Scientific paper

10.1103/PhysRevE.57.1155

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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