Freeze-In Transition of Anharmonic Oscillator System with Quenched Random Interactions

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概要

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• A simple model of strongly disordered systems composed of anharmonic oscillators with quenched random interactions is introduced and its structural phase transition is studied by making use of the replica method. A freeze-in transition characterized by Edwards and Anderson type's order parameter (q≠0), the phase diagram (para-ferrodistortive-frozen), and a constant susceptibility below the transition temperature are derived in the mean field (Einstein oscillator) approximation. The self-consistent phonon approximation is also used to study the effect of spatial fluctuations, and it is shown that the phase diagram undergoes a qualitative change at the spatial dimension d=4. The relationship between our model and the Ginzburg-Landau theory of spin-glasses are discussed.

• 理論物理学刊行会の論文
• 1982-08-25

著者

• Naya Shigeo

  Department Of Physics Boston University : Faculty Of Science 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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• Note on the Penetration of Surface Vibration and the Melting Based on the Self-Consistent Einstein Model
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• 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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