Statistical Thermodynamics of Finite Ising Model. II

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概要

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• The partition functions of the two- and three-dimensional finite Ising models in the presence of a magnetic field have been calculated with use of a high-speed computer. Periodic boundary conditions were imposed. All the numbers of configurations for the 3×3×3, 5×5, and 4×6 lattices are tabulated. The distribution of zeros of the partition functions in the complex magnetic-field plane has been obtained both for the ferro- and antiferromagnetic cases. The zeros in the ferromagnetic cases are distributed on the unit circle according to the Yang-Lee theorem, and the dependence on temperature of the distribution functions has been studied. In the antiferromagnetic case most of zeros are on the negative real axis, but a certain number of complex roots appear in the left half of the plane. The magnetization and the magnetic susceptibility have been calculated as functions of temperature.

• 社団法人日本物理学会の論文
• 1970-10-05

著者

• Suzuki Masuo

  Baker Laboratory Cornell University:institute For Solid State Physics University Of Tokyo

• KAWABATA Chikao

  Computer Center, Faculty of Science, Okayama University

• ONO Syu

  Institute of Physics, College of General Education, University of Tokyo

• KARAKI Yukihiko

  Institute of Physics, College of General Education, University of Tokyo

• IKEDA Masuo

  Tokyo Electrical Engineering College

• Ono Syu

  Institute Of Applied Science Faculty Of Engineering Kyushu University

• Karaki Yukihiko

  Institute Of Physics College Of General Education University Of Tokyo

• Kawabata Chikao

  Computer Center Faculty Of Science Okayama University

関連論文

• Statistical Thermodynamics of Finite Ising Model. II
• Statistical Thermodynamics of Finite Ising Model. I
• Statistical Mechanics of Transport Phenomena in Gases at Moderate Densities
• The Radial Distribution Function in Liquid Argon
• 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
• Integral Equations between Distribution Functions of Molecules
• Critical Field of the Heisenberg Model at Zero Temperature
• Statistical Thermodynamics of Solutions of Electrolytes and Non-Electrolytes
• The Second Report on the Hole Theory of Liquid
• The Quantum-Statistical Theory of Transport Phenomena, I : On the Boltzmann-Uehling-Uhlenbeck Equation
• Statistical thermodyamics of multimolecular adsorption.〔1〕

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