Statistics of self-avoiding walks on randomly diluted lattices
- 1 April 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (4) , 2790-2803
- https://doi.org/10.1103/physreve.49.2790
Abstract
A comprehensive numerical study of self-avoiding walks on randomly diluted lattices in two and three dimensions is carried out. The critical exponents ν and χ are calculated for various different occupation probabilities, disorder configuration ensembles, and walk weighting schemes. These results are analyzed and compared with those previously available. Various subtleties in the calculation and definition of these exponents are discussed. Precise numerical values are given for these exponents in most cases, and many new properties are recognized for them.Keywords
All Related Versions
This publication has 34 references indexed in Scilit:
- Self-avoiding walks on diluted networksPhysical Review Letters, 1989
- 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
- Scaling theory for the statistics of self-avoiding walks on random latticesJournal of Physics A: General Physics, 1987
- Statistics of self-avoiding walks on random latticesZeitschrift für Physik B Condensed Matter, 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
- The statistics of self-avoiding walks on a disordered latticeZeitschrift für Physik B Condensed Matter, 1981
- Self-avoiding-walks (SAW's) on diluted lattices, a Monte Carlo analysisZeitschrift für Physik B Condensed Matter, 1981
- Phenomenological renormalisation of the self avoiding walk in two dimensionsJournal of Physics A: General Physics, 1981