Renormalization-group calculation of the critical exponents for percolation

Dasgupta, Chandan (1976) Renormalization-group calculation of the critical exponents for percolation Physical Review B, 14 (3). pp. 1221-1224. ISSN 0163-1829

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Official URL: http://prb.aps.org/abstract/PRB/v14/i3/p1221_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.14.1221

Abstract

The relation between the s-state Ashkin-Teller-Potts model and the percolation problem given by Kasteleyn and Fortuin is used to formulate a renormalization-group treatment of the percolation problem. The variational renormalization-group scheme given by Kadanoff is used to treat the s-state model on a square lattice and the s→1 limit is taken to get the critical exponents for the percolation problem.

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