Universal Amplitude Combinations for Self-Avoiding Walks, Polygons and Trails
Condensed Matter
2009-10-22 v1 High Energy Physics - Theory
Abstract
We give exact relations for a number of amplitude combinations that occur in the study of self-avoiding walks, polygons and lattice trails. In particular, we elucidate the lattice-dependent factors which occur in those combinations which are otherwise universal, show how these are modified for oriented lattices, and give new results for amplitude ratios involving even moments of the area of polygons. We also survey numerical results for a wide range of amplitudes on a number of oriented and regular lattices, and provide some new ones.
Keywords
Cite
@article{arxiv.cond-mat/9303035,
title = {Universal Amplitude Combinations for Self-Avoiding Walks, Polygons and Trails},
author = {John L. Cardy and Anthony J. Guttmann},
journal= {arXiv preprint arXiv:cond-mat/9303035},
year = {2009}
}
Comments
20 pages, NI 92016, OUTP 92-54S, UCSBTH-92-50