An Improvement in the Spherical Approximation of an Ising Spin System
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概要
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Rewriting the partition function of an Ising system as a multiple integral, dividing the integration space by a set of concentric spherical surfaces and sets of parallel planes into small domains, averaging separately the two factors constituting the integrand of the multiple integral over each of these domains, and replacing the two factors by their respective averages, logarithm of the partition function per spin is given by the extremum of a function with respect to a complex variable and a number of real variables. The specific heat curve of an Ising square lattice obtained by the present method is compared with those by the exact method, the spherical approximation and the mean field approximation.
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著者
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Nagai Noriko
Department Of Pediatrics Nagoya University School Of Medicine
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Nagai Noriko
Department Of Physics Faculty Of Science Ochanomizu University
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Iwata Giiti
Department Of Physics Faculty Of Science Ochanomizu University
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Ohkawa Yoko
Department of Physics, Faculty of Science Ochanomizu University
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Shingu Mayumi
Department of Physics, Faculty of Science Ochanomizu University
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Yagi Sachiko
Department of Physics, Faculty of Science Ochanomizu University
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Yagi Sachiko
Department Of Physics Faculty Of Science Ochanomizu University
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Shingu Mayumi
Department Of Physics Faculty Of Science Ochanomizu University
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Ohkawa Yoko
Department Of Physics Faculty Of Science Ochanomizu University
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IWATA Giiti
Department of Physcis, Tokyo University
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