Finite Size Effects and Pseudocritical Behavior. II : Potts Spin Model
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概要
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Using the transfer matrices constructed by Kramers and Wannier's successive screw method for the 2-d (l×∞) and 3-d (l×m×∞) q state Potts model (2≦q≦7), we examine the extent to which the presently available supercomputers can provide us with finite size effects and pseudoeritical properties of the systems. We estimate the bulk coupling parameters K_c from the specific heat anomaly in two and three dimensions and also from the correlation length anomaly in two dimensions. In two dimensions, our results K_c are om gppd agreement with those given by the Potts duality formula. In three dimensions, however, we need extended precision computations to obtain the numerical results with sufficient accuracy. We regard the bahavior of the exponent μ, which characterizes the relation beween the specific heat peak C_<ν0>(l) and the lattice size l, as an indicator to discriminate the order of the phase transition by investigating C_<ν0>(l) for several small values of l.
- 理論物理学刊行会の論文
- 1996-05-25
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 Physicsc 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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