Exactness of the Replica Method and Critical Renormalization on a Generalized Gaussian Model with Randomness

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概要

• 論文の詳細を見る

• A two-dimensional Ising model with quenched bond disorder is mapped to ageneralized Gaussian model (GGM) with randomness. In a perturbation expansiontheory on the GGM with respect to a suitably chosen virtual regular system, it isshown that the replica method yields the exact result, and that critical divergences ap-pearing spuriously in each term in the expansion are renormalized with certain self-consistent equations to give a finite value of the internal energy when the corre-sponding regular model exhibits a phase transition. The method used here is ageneralization of the coherent potential approximation (CPA), and is applicable to avariety of random models to which corresponding regular models are soluble.

• 社団法人日本物理学会の論文
• 1987-03-15

著者

• Tamaribuchi T

  Department Of Physics Faculty Of Science Shizuoka University

• Tamaribuchi Tsuguhiro

  Department Of Physics Faculty Of Science Shizuoka University

• TAMARIBUCHI Tsuguhiro

  Institute of Physics, University of Tsukuba

関連論文

• Effective Field Approximatioin for Random Ordered Phase
• Concentration Expansion for Random Ising Systems
• A Self-Consistent Treatment of the Kosterlitz=Thouless Transition of the Two-Dimensional Classical Sine-Gordon Model
• Exactness of the Replica Method and Critical Renormalization on a Generalized Gaussian Model with Randomness
• Concentration Expansion for Random Ising Systems. II
• Exact Numerical Evaluations for Two-Dimensional Ising Models with Arbitrary Bond Configurations

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