Monte Carlo Study of the Spontaneous Magnetization of the Three-Dimensional Ising Model

概要

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The spontaneot?s magnetization of The three-dimensional Ising model is studiednumerically by the Monte Carlo method. The values of squared magnetizations forfinite simple-cubic lattices are extrapolated to those of the infinite system to estimatethe values of spontaneous magnetization. The extrapolation parameter is the inverseof the system size. By assuming that the spontaneous magnetization is a simple polefunction near the critical point, the values of the critical point K. and the exponent pof the spontaneous magnetization are estimated to be 0.221657(3) and 0.3205(6), re-spectively. If we assume that it is the form of simple pole function plus regular func-lion, they are estimated to be 0.221651(4) and 0.3265(9), respectively. Therefore theyare estimated to be 0.221654(6) and 0.324(4), respectively, from the mid values ofthese estimations.lsing model, spontaneous magnetization, Monte Carlo method, extrapolationmethod, critical phenomena, critical exponent, renormalization, series expan-sion
社団法人日本物理学会の論文
1991-06-15