Universality of subleading corrections for self-avoiding walks in the presence of one-dimensional defects

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, , Citation Sergio Caracciolo et al 1997 J. Phys. A: Math. Gen. 30 4939 DOI 10.1088/0305-4470/30/14/009

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1 Scuola Normale Superiore and INFN - Sezione di Pisa, I-56100 Pisa, Italy

2 Dipartimento di Fisica and INFN - Sezione di Lecce, Università degli Studi di Lecce, I-73100 Lecce, Italy

3 Dipartimento di Fisica and INFN - Sezione di Pisa, Università degli Studi di Pisa, I-56100 Pisa, Italy

Dates

  1. Received 3 March 1997

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0305-4470/30/14/4939

Abstract

We study three-dimensional self-avoiding walks in the presence of a one-dimensional excluded region. We show the appearance of a universal subleading exponent which is independent of the particular shape and symmetries of the excluded region. A classical argument provides the estimate: . The numerical simulation gives .

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