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Physica A Statistical Mechanics and its Applications

Non-equilibrium critical relaxation of the Wolff dynamics of the Ising model

Nobuyasu Ito, Gregory A. Kohring

Published Dec 1, 1993• 17 citations
Publisher
DOI
10.1016/0378-4371(93)90127-p

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From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent z is estimated to be 2.165 ± 0.010 for this model. The relaxation in the ordered phase of this model is consistent with exp (−√t/τ) behavior. The interface energy of the three-dimensional Ising model is studied and the critical exponent of the correlation length ν and the critical amplitude of the surface tension σ0 are estimated to be 0.6250 ± 0.0025 and 1.42 ± 0.04, respectively. A dynamic Monte Carlo renormalization group method is successfully applied to the equilibrium properties of the three-dimensional Ising model.