Finite Size Effects and Pseudocritical Behavior. I : Ising Spin and Lattice Gauge Models
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概要
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We deal with the transfer matrices built by Kramers and Wannier's successive screw method for 2-d (l×∞, l≦27) and 3-d (l×m×∞, lm≦27) Ising spin systems and 3-d (l×m×∞, lm≦9) Ising lattice gauge systems, and examine to what extent the presently available supercomputers can improve our previous results on the pseudocritical properties of the systems. Using the shift exponent relation for the pseudocritical parameters obtained from the specific heat anomaly, we estimate the bulk values K_c. We considerably improve our previous results, but the precision for the 3-d spin system falls behind that of the latest Monte Carlo result. We also evaluate K_c in two dimensions from the correlation length anomaly in agreement with the exact value to eight decimal places. We eddiciently extrapolate the quantities of the 3-d lattice by the consecutevu difference procedure. We propose the inflaction point method in order to extract the critical indices from the anomaly curve families.
- 1996-04-25
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 University
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OHYA Shingo
Nagoya Bunri University
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Ohya Shingo
Nagoya Bunri College
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KATSUMORI Hiroshi
Department of Applied Physics, Chubu Institute of Technology
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