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- W1977308529 abstract "Bethe's method of equilibrium statistical mechanics is generalized to treat Glauber's time-dependent Ising models in two and three dimensions. This constitutes the first-order approximation which improves the mean-field theory (the zeroth-order approximation) by incorporating specific short-range correlations into the distribution function. We first calculate the single-spin expectation value. Although the dynamic equation may need to be solved by using a numerical method, its approximate solution in the pretransitional region can be studied in detail. We then calculate the two-spin correlation function. This requires yet another extension of Bethe's method. Again approximate solutions can be obtained in the pretransitional region. Our results for the static pair correlation functions are equivalent to that of Elliott and Marshall, but our derivation is simpler. We also calculate the time-dependent correlation function for the magnetization, and reproduce the fluctuation-dissipation relation." @default.
- W1977308529 created "2016-06-24" @default.
- W1977308529 creator A5082018413 @default.
- W1977308529 date "1975-02-01" @default.
- W1977308529 modified "2023-10-16" @default.
- W1977308529 title "First-order approximation for the time-dependent Ising model" @default.
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- W1977308529 doi "https://doi.org/10.1103/physrevb.11.1144" @default.
- W1977308529 hasPublicationYear "1975" @default.
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