New method of analysing self-avoiding walks in four dimensions

S. Havlin, D. Ben-Avraham

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

A new method based on the concept of fractal dimensionality is used to study the problem of self-avoiding walks in a four-dimensional lattice. The authors find from Monte Carlo simulations that the confluent logarithmic exponent related to the end-to-end distance is 1/8+or-0. 01, in excellent agreement with the prediction derived from the n to 0 vector model.

Original languageEnglish
Article number012
Pages (from-to)L317-L320
JournalJournal of Physics A: Mathematical and General
Volume15
Issue number6
DOIs
StatePublished - 1982

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