Zeros of Partition Function and High Temperature Expansion for the Two-Dimensional Ising Models : Condensed Matter and Statistical Physics
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概要
- 論文の詳細を見る
Distribution of zeros of partition function Z without magnetic field is studied for some two-dimensional Ising models with nearest-neighbor interactions. The distributions are presented graphically for the honeycomb, triangular, diced and Kagome lattices. It is shown that an asymptotic form of high temperature expansion for lnZ is closely related with the distribution of zeros. The expansion coefficients are derived up to large orders by computer for the honeycomb and Kagome lattices. It turns out that their oscillatory behaviors are understood very well by studying the zeros off the positive real axis, in particular the period of oscillation for the Kagome lattice is proved to be about 5.25.
- 理論物理学刊行会の論文
- 1991-03-25
著者
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OGAWA Takeshi
Department of Mechanical Engineering, Aoyama Gakuin University
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ABE Ryuzo
Department of Emergency and Critical Care Medicine, Chiba University Graduate School of Medicine
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Ogawa Takeshi
Graduate School Of Life And Environmental Sciences Osaka Prefecture University
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Abe Ryuzo
Department Of Emergency And Critical Care Medicine Chiba University Graduate School Of Medicine
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DOTERA Tomonari
Department of Physics, University of Pennsylvania
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Ogawa Takeshi
Departmen Of Orthopaedic Surgery Nihon University School Of Medicine
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Dotera T
Department Of Physics University Of Pennsylvania
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OGAWA Takeshi
Department of Pure and Applied Sciences, University of Tokyo
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OGAWA Takeshi
Department of Pure and Applied Sciences University of Tokyo
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ABE Ryuzo
Department of Pure and Applied Sciences College of Arts and Sciences, University of Tokyo
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