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- W2002157265 abstract "A new method is proposed to study critical phenomena, which is a unification of Weiss' mean-field theory and Fisher's finite-size scaling theory. A systematic series of clusters is considered and generalized mean-fields are applied to the boundary spins of such clusters. From the size-dependence of the coefficients of mean-field singularities systematically obtained, the static critical exponents α, β and γ, and critical slowing down exponent Δ can be estimated. The critical point T C can be also evaluated from the size-dependence of mean-field critical points obtained in a systematic series of clusters. Some applications to the two- and three-dimensional Ising models are given explicitly to obtain T C =(2.24(0.036)) J / k B and γ=1.7(0.05) in the two-dimensional square lattice in our preliminary calculations." @default.
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- W2002157265 date "1986-01-15" @default.
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- W2002157265 title "New Method to Study Critical Phenomena–Mean-Field Finite-Size Scaling Theory" @default.
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- W2002157265 doi "https://doi.org/10.1143/jpsj.55.1" @default.
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