New method of analysing self-avoiding walks in four dimensions

S. Havlin; D. Ben-Avraham

doi:10.1088/0305-4470/15/6/012

New method of analysing self-avoiding walks in four dimensions

S. Havlin
, D. Ben-Avraham

Department of Physics - at Bar-Ilan University

Bar-Ilan University

Research output: Contribution to journal › Article › peer-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 language	English
Article number	012
Pages (from-to)	L317-L320
Journal	Journal of Physics A: Mathematical and General
Volume	15
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/15/6/012
State	Published - 1982

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title = "New method of analysing self-avoiding walks in four dimensions",

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.",

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New method of analysing self-avoiding walks in four dimensions

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