Exactness of the Replica Method and Critical Renormalization on a Generalized Gaussian Model with Randomness
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- Tamaribuchi Tsuguhiro
- Department of Physics, Faculty of Science, Shizuoka University
書誌事項
- タイトル別名
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- Exactness of the Replica Method and Cri
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説明
A two-dimensional Ising model with quenched bond disorder is mapped to a generalized Gaussian model (GGM) with randomness. In a perturbation expansion theory on the GGM with respect to a suitably chosen virtual regular system, it is shown that the replica method yields the exact result, and that critical divergences appearing 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 corresponding regular model exhibits a phase transition. The method used here is a generalization of the coherent potential approximation (CPA), and is applicable to a variety of random models to which corresponding regular models are soluble.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 56 (3), 843-846, 1987
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679162669440
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- NII論文ID
- 110001960340
- 130003739871
- 210000093838
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1987JPSJ...56..843T
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 3126960
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可