Critical Compressibility Factor of Two-Dimensional Lattice Gas : Kagome and Diced Lattices : Condensed Matter and Statistical Physics
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概要
- 論文の詳細を見る
The critical compressibility factor Z_c at the gas-liquid critical point is defined by Z_c=p_cV_c/Nk_BT_c (p_c: critical pressure, V_c: critical volume, T_c: critical temperature, k_B: Boltzmann's constant, N: number of molecules). The Z_c of the lattice gas on the Kagome or diced lattice is discussed. First, on the basis of exact solution for the partition function Z of the Ising model without magnetic field on these lattices, the Z_c is calculated exactly. The results are Z_c=0.08330842…(Kagome lattice) and Z_c=0.14284554…(diced lattice). Secondly, high temperature expansion for Z_c is studied and the expansion is carried out up to w^<13> for the Kagome lattice and up to w^<12> for the diced lattice. Extrapolation procedures for obtaining Z_c are discussed. A similarity between the diced and Penrose lattices and the one between the Kagome and dual Penrose lattices are pointed out.
- 理論物理学刊行会の論文
- 1990-09-25
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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Dotera Tomonari
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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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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