Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Monte Carlo Study of the Spontaneous Magnetization of the Three-Dimensional Ising Model
Nobuyasu ItoMasuo Suzuki
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1991 年 60 巻 6 号 p. 1978-1987

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The spontaneous magnetization of the three-dimensional Ising model is studied numerically by the Monte Carlo method. The values of squared magnetizations for finite simple-cubic lattices are extrapolated to those of the infinite system to estimate the values of spontaneous magnetization. The extrapolation parameter is the inverse of the system size. By assuming that the spontaneous magnetization is a simple pole function near the critical point, the values of the critical point Kc and the exponent β of the spontaneous magnetization are estimated to be 0.221657(3) and 0.3205(6), respectively. If we assume that it is the form of simple pole function plus regular function, they are estimated to be 0.221651(4) and 0.3265(9), respectively. Therefore they are estimated to be 0.221654(6) and 0.324(4), respectively, from the mid values of these estimations.
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