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

DOI Web Site Web Site BIBCODE 16 References
  • Murase Chiaki
    Faculty of General Education, Tokyo University of Agriculture and Technology

Bibliographic Information

Other Title
  • Renormalization Group Approach for Crit

Search this article

Abstract

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.

Journal

References(16)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top