SELF-AVOIDING WALKS ON QUASILATTICES

Author:

BRIGGS KEITH1

Affiliation:

1. Department of Mathematics, University of Melbourne, Parkville, Australia 3052, Australia

Abstract

I consider the asymptotic properties of self-avoiding walks on a variety of quasilattices. The critical points and exponents are estimated. Walks on several of the patterns appear to belong to the same universality class as walks on the hexagonal periodic lattice.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Self-avoiding walks in constrained and random geometries: Series studies;Statistics of Linear Polymers in Disordered Media;2005

2. Self-avoiding walks and polygons on quasiperiodic tilings;Journal of Physics A: Mathematical and General;2003-06-05

3. Invaded cluster algorithm for critical properties of periodic and aperiodic planar Ising models;Journal of Physics A: Mathematical and General;2000-04-28

4. Random walks on carbon nanotubes and quasicrystals;Journal of Physics A: Mathematical and General;2000-04-07

5. High-temperature expansion for Ising models on quasiperiodic tilings;Journal of Physics A: Mathematical and General;1999-01-01

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