Renormalization Group Approach for Critical Percolation Behavior in a Two Dimensional Bond Percolating Square Lattice

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概要

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• A renormalization nrour>ar>r>roach in real Sp3CC is ar:>rlied to the bond r>ercolat-ing square lattice in two dimension using two scaling transformations proposed byReynolds et at. (Reynolds's method) and by Yuge (Yuge's method). The renorma-lization transformation R b (p), the eigenvalue 2(b) and the correlation lengthcritical exponent v(b) are calculated exactly by changing the scale of length b=4for Reynolds's method and b=5/V2 and 6/V'2 for Yuge's method. The truecritical exponent v is estimated v=1.341 and 1.337 by extrapolation, respectively.Discussions are made on the results.

• 社団法人日本物理学会の論文
• 1981-04-15

著者

• Murase Chiaki

  Faculty Of General Education Tokyo University Of Agriculture And Technology

関連論文

• Renormalization Group Approach for Critical Percolation Behavior in a Two Dimensional Bond Percolating Square Lattice

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