Order-Parameter Expansion of Free Energy and Its Application to Some Models with First and Second Order Phase Transitions

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概要

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• A Statistical-mechanical theory for the order-parameter expansion of free energy, whose expansion coefficients are expressed in terms of cumulant averages of microscopic random variables, is presented in the mean field approximation. The theory can easily be extended to the cases of the complex order-parameter as well as the three-dimensional one. As applications of present theory, the order of phase transitions is investigated on simple order-disorder models with one-dimensional order-parameter and on a polyorientational phase transition of dipolar system with three-dimensional order-parameter.

• 理論物理学刊行会の論文
• 1977-12-25

著者

• Naya Shigeo

  Department Of Physics Boston University : Faculty Of Science Kwansei Gakuin University

• Naya Shigeo

  Department Of Physics Kwansei Gakuin University

• NAMBU Shinji

  Department of Physics, Kwansei Gakuin University

• Nambu Shinji

  Department Of Physics Kwansei Gakuin University

• NAYA Shigeo

  Department of Physics,Faculty of Science Kwansei Gakuin University

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• Orientational Phase Transition and Dynamic Susceptibility of Hindered-Rotating Dipolar System : A Librator-Rotator Model
• Comments on the Melting and the Size Dependence of Melting Temperature in Metallic Fine Particles
• Order-Parameter Expansion of Free Energy and Its Application to Some Models with First and Second Order Phase Transitions
• Note on the Penetration of Surface Vibration and the Melting Based on the Self-Consistent Einstein Model
• Freeze-In Transition of Anharmonic Oscillator System with Quenched Random Interactions
• Stability of the Ginzburg-Landau Spin-Glass Model
• Orientational Phase Transitions of Dumbbell-Shaped Molecules Arranged on Decorated Square and Kagome Lattices
• Phenomenological Cluster Theory of Spin-Glasses : Condensed Matter and Statistical Physics
• Order Parameter Expansion of Free Energy and Spin-Glasses. II : Random Site Model

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