New method of analysing self-avoiding walks in four dimensions

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, , Citation S Havlin and D Ben-Avraham 1982 J. Phys. A: Math. Gen. 15 L317 DOI 10.1088/0305-4470/15/6/012

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1 Dept. of Phys., Bar-Ilan Univ., Ramat-Gan, Israel

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0305-4470/15/6/L317

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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