Renormalization Group Approach for Critical Percolation Behavior in a Two Dimensional Bond Percolating Square Lattice
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- Murase Chiaki
- Faculty of General Education, Tokyo University of Agriculture and Technology
書誌事項
- タイトル別名
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- Renormalization Group Approach for Crit
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A renormalization group approach in real space is applied to the bond percolating square lattice in two dimension using two scaling transformations proposed by Reynolds et al. (Reynolds’s method) and by Yuge (Yuge’s method). The renormalization transformation Rb(p), the eigenvalue λ(b) and the correlation length critical exponent ν(b) are calculated exactly by changing the scale of length b=4 for Reynolds’s method and b=5⁄\sqrt2 and 6⁄\sqrt2 for Yuge’s method. The true critical exponent ν is estimated ν=1.341 and 1.337 by extrapolation, respectively. Discussions are made on the results.
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 50 (4), 1063-1066, 1981
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
- 1390001204184195584
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- NII論文ID
- 110001959929
- 210000089269
- 130003896960
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1981JPSJ...50.1063M
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 2310524
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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
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
