Statistical Mechanics of the Finite Ising Model with Higher Spin
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概要
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The partition functions of the finite Ising models of spin S=1, 3/2, 2,5/2 and 3 have been calculated by a high speed computer. The periodicity condition at the boundaries has been imposed, and only the nearest neighbor interaction has been assumed. The specific heats of these finite systems have been calculated as a function of temperature. The maxima of the specific heat increase proportionally to long N in the two-dimensional Ising model with spin S=1, N being the number of lattice points, which indicates that the specific heat for the above lattice has a singularity such as C_u/k∼Alog T-T_c +B_±:A∼0.10 and B_--B_+=0.24. The difference (B_+-B_-) has been estimated from the asymmetric distribution of the zeros of the partition function in the complex temperature plane.
- 社団法人日本物理学会の論文
- 1969-11-05
著者
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SUZUKI Masuo
The Institute for Solid State Physics, University of Tokyo
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Kawabata Chikao
Computer Center Faculty Of Science Okayama University
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Suzuki Masuo
The Institute For Solid State Physics University Of Tokyo
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Suzuki Masuo
The Institute For Solid State Physics The University Of Tokyo
関連論文
- Statistical Thermodynamics of Finite Ising Model. II
- Statistical Thermodynamics of Finite Ising Model. I
- Critical Slowing Down in the Kinetic Ising Model
- Statistical Mechanics of the Finite Heisenberg Model. II
- Statistical Mechanics of the Finite Heisenberg Model. III
- An Application of Pade Approximants to Heisenberg Ferromagnetism and Pair-Product Model
- Statistical Mechanics of the Finite Ising Model with Higher Spin
- Statistical Mechanics of the Finite Heisenberg Model. I
- Relationship among Exactly Soluble Models of Critical Phenomena. I : 2D Ising Model, Dimer Problem and the Generalized XY-Model
- Singularity of Nonlinear Response near the Critical Field. I : Static Case
- Long-Range Order in Ideal Ferromagnets
- Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism