论文信息 - On self-repelling walks

On self-repelling walks

The authors investigate the properties of self-repelling walks-otherwise known as 'true' self-avoiding walks-in both one and two dimensions for a range of values of the repulsion parameter g, 0.2<or=g<or=10.0. In one dimension they have obtained 24 terms of the generating function of the mean-square end-to-end distance (RN2), while on the two-dimensional square lattice they have obtained 12-15 terms. In one dimension they find the data to be well fitted by (RN2)=N43/(A+B/N13/+C/N+O(1/N)) and in two dimensions by (RN2)=DN mod lnN mod alpha (1+0(ln mod lnN mod /lnN)) with alpha approximately=0.5. Estimates of the amplitudes A and D are also obtained.

Anthony J. Guttmann | A. Guttmann | C Byrnes | C. Byrnes

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