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Physica A Statistical Mechanics and its Applications

Study on the two-dimensional kinetic Ising model with the dynamic Monte Carlo renormalization group method

Qing-Kuan Meng, Dong-Tai Feng, Yuping Sun, Aiping Zhou, Shu-Gang Tan, Yan Ping Sun

Published Nov 9, 2018• 0 citations
Publisher
DOI
10.1016/j.physa.2018.11.007

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The dynamic Monte Carlo renormalization group is applied to the two-dimensional Kawasaki and three-dimensional Glauber models. Our best "matching" results for the Kawasaki model yield a value of z=3.80z=3.80z=3.80 for the dynamical exponent, as compared with the exact value z=3.75z=3.75z=3.75. This provides strong confirmation for the validity of this method. The results for the Glauber model are less accurate, but our estimate of $z\ensuremath{\simeq}2.08$ is in reasonable agreement with the $\ensuremath{\epsilon}$ expansion.