Monte Carlo study of self-avoiding walks on a percolation cluster
- 1 July 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (2) , 999-1007
- https://doi.org/10.1103/physreva.44.999
Abstract
We present computer-simulation results of self-avoiding walks (SAW’s) on a percolation cluster for a square lattice performed very close to the percolation threshold. We specifically consider the disorder averages of SAW’s on all clusters supporting one or more N-step walks and those on a backbone of an infinite cluster and estimate the critical exponents ν and γ that characterize the disorder averages of the end-to-end distance and the number of SAW’s, respectively. Our results for γ indicate a behavior rather similar to SAW’s on fully occupied lattices for both cases, while for ν one of two cases shows different behavior.Keywords
This publication has 28 references indexed in Scilit:
- Monte Carlo study of self-avoiding walks on a critical percolation clusterPhysical Review B, 1989
- Self-Avoiding Walks on Randomly Diluted LatticesPhysical Review Letters, 1988
- Self-avoiding walks on random networks of resistors and diodesPhysica A: Statistical Mechanics and its Applications, 1987
- Self-avoiding walks on percolation clustersJournal of Physics A: General Physics, 1984
- Self-avoiding walks on randomly diluted latticesZeitschrift für Physik B Condensed Matter, 1984
- Self-avoiding walks on random latticesZeitschrift für Physik B Condensed Matter, 1983
- Renormalisation-group study of self-avoiding walks on the random latticeJournal of Physics C: Solid State Physics, 1983
- A self-avoiding walk on random stripsJournal of Physics A: General Physics, 1982
- The statistics of self-avoiding walks on a disordered latticeZeitschrift für Physik B Condensed Matter, 1981
- Effect of random defects on the critical behaviour of Ising modelsJournal of Physics C: Solid State Physics, 1974