New approach to self-avoiding walks as a critical phenomenon

S. Havlin, D. Ben-Avraham

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21 Scopus citations


A new approach is developed to self-avoiding walks as a critical phenomenon. The approach is based on a simple assumption made on the step-step correlation function. This leads to a single scaling field related to the degree of polymerisation. As a result, all critical exponents are related to a single exponent. Moreover, the order parameter and critical fields have a clear physical meaning. The present interpretation of self-avoiding walks as critical suggests an additional meaning of the exponent v in other critical systems.

Original languageEnglish
Article number013
Pages (from-to)L321-L328
JournalJournal of Physics A: Mathematical and General
Issue number6
StatePublished - 1982


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