Scaling theory for the statistics of self-avoiding walks on random lattices

Roy, A. K. ; Chakrabarti, B. K. (1987) Scaling theory for the statistics of self-avoiding walks on random lattices Journal of Physics A: Mathematical and General, 20 (1). pp. 215-225. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/20/1/029?fromS...

Related URL: http://dx.doi.org/10.1088/0305-4470/20/1/029

Abstract

The authors study self-avoiding walks (SAW) on randomly diluted (quenched) lattices with direct configurational averaging over the moments of the SAW distribution function. A scaling function representation of RN, the average end-to-end distance of N-step walks, is studied here both for SAW on (a) the infinite percolation cluster and (b) any cluster. They have shown that, at the percolation threshold nuP= nu P(1-betaP/2 nuP), where beta P and nuP are the percolation order parameter and correlation length exponents respectively. The authors also propose a scaling function representation for the total number of N-step SAW configuration GN( approximately mu NNgamma −1) for infinite cluster averaging, which gives gamma P=gamma +d(nuP-nu ). For all cluster averaging gamma will remain unchanged.

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Deposited On:23 Jun 2011 07:47
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