Universal Amplitude Combinations for Self-Avoiding Walks, Polygons and Trails

Details Universal Amplitude Combinations for Self-Avoiding Walks, Polygons and Trails Universal Amplitude Combinations for Self-Avoiding Walks, Polygons and Trails

1993-03-19

arxiv.org/abs/cond-mat/9303035v1

J. Phys. A, 26, 2485 (1993)

Physics

Condensed Matter

20 pages, NI 92016, OUTP 92-54S, UCSBTH-92-50

Scientific paper

10.1088/0305-4470/26/11/003

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.

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