Three-Dimensional Anisotropic Ising Lattice
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概要
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The eigenvalue problem of the three-dimensional anisotropic Ising lattice (J_x=J_y=J, J_z≡J', J≠J') is solved in successive screw approximations on a computer. A linear relation between the maximum value of the specific heat and the logarithm of the number of spins in each layer is suggested in much the same way as for the isotropic Ising lattice (J_x=J_y=J_z) . The proportional coefficient is found to be approximately twice that for the two-dimensional square lattice, almost independently of an anisotropic parameter r(≡J'/J) throughout the range 0≦r≦1. By the use of a suitable extrapolation technique, variation of the critical temperature T_c with the parameter r is obtained between the exact two-dimensional value(J/2kT_c=0.4407 for r=0) and the isotropic three-dimensional value (J/2kT_c=0.2217 for r=1).
- 理論物理学刊行会の論文
- 1978-07-25
著者
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KATSUMORI Hiroshi
Department of Neurology, University of California of Los Angeles School of Medicine
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Katsumori Hiroshi
Department Of Applied Physics Chubu Institute Of Technology
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Katsumori Hiroshi
Chubu University
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KATSUMORI Hiroshi
Department of Applied Physics, Chubu Institute of Technology
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