Dynamic Critical Exponents of Three-Dimensional Ising Models and Two-Dimensional Three-States Potts Models(General)
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概要
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Values of dynamic critical exponents are numerically estimated for various models with the nonequilibrium relaxation method to test the dynamic universality hypothesis. The dynamics used here are single-spin update with Metropolis-type transition probabities. The estimated values of non-equilibrium relaxation exponent of magnetization λ_m (=β/zν) of Ising models on bcc and fcc lattices are estimated to be 0.251(3) and 0.252(3), respectively, which are consistent with the value of the model on simple-cubic lattice, 0.250(2). The dynamic critical exponents of three-states Potts models on square, honeycomb and triangular lattices are also estimated to be 2.193(5), 2.198(4), and 2.199(3), respectively. They are consistent within the error bars. It is also confirmed that Ising models with regularly modulated coupling constants on square lattice have the same dynamic critical exponents with the uniformly ferromagnetic Ising model.
- 社団法人日本物理学会の論文
- 2008-01-15
著者
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Ito Nobuyasu
Univ. Tokyo Tokyo Jpn
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Ito Nobuyasu
Department Of Applied Physics Faculty Of Engineering The University Of Tokyo
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Murase Yohsuke
Department of Applied Physics, School of Engineering, The University of Tokyo
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Murase Yohsuke
Department Of Applied Physics School Of Engineering The University Of Tokyo
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