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The persistence length of two-dimensional self-avoiding random walks

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Published 12 February 2003 • Published under licence by IOP Publishing Ltd
, , Citation E Eisenberg and A Baram 2003 J. Phys. A: Math. Gen. 36 L121 DOI 10.1088/0305-4470/36/8/101

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1 Physics Department, Princeton University, Princeton, NJ, 08544 USA

2 Soreq NRC, Yavne 81800, Israel

Dates

  1. Received 20 November 2002
  2. Published

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0305-4470/36/8/L121

Abstract

The decay of directional correlations in self-avoiding random walks on the square lattice is investigated. Analysis of exact enumerations and Monte Carlo data suggest that the correlation between the directions of the first step and the jth step of the walk decays faster than j−1, indicating that the persistence length of the walk is finite.

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