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Step-step correlations in restricted and self-avoiding random walks

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Zeitschrift für Physik B Condensed Matter

Abstract

Static step-step correlations for restricted and self-avoiding random walks (SARW) on quadratic and simple cubic lattices are studied with the help of Monte Carlo simulation technique. For the SARW ofN steps our results, for largeN tend to the theoretically predicted values. An analysis of the correlations for SARW in terms of the individual restrictions indicate that its value between steps at a distancer have a dominant contribution coming from the restriction prohibiting polygon closures of sides2r (r≧2). Our results also show that the contribution of successive restrictions to the mean-square end-to-end distance of a SARW decay with the same exponent as that of the correlations for the SARW.

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Authors and Affiliations

  1. Pakistan Institute of Nuclear Science and Technology, P.O. Nilore, Rawalpindi, Pakistan

    A. Sadiq & Y. Khwaja

Authors
  1. A. Sadiq
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  2. Y. Khwaja
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Sadiq, A., Khwaja, Y. Step-step correlations in restricted and self-avoiding random walks. Z. Physik B - Condensed Matter 42, 163–167 (1981). https://doi.org/10.1007/BF01319551

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  • DOI: https://doi.org/10.1007/BF01319551

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