Two-dimensional polymers: universality and correction to scaling
Open Access
- 1 January 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (1) , L39-L42
- https://doi.org/10.1088/0305-4470/18/1/007
Abstract
Improved Monte Carlo methods have been used to study the asymptotic behaviour of self-avoiding walks on two-dimensional lattices. The mean-square end-to-end distance RN2 and radius of gyration SN2 are both found to scale as N2v with exponent values very close to the expected v=3/4 and an amplitude ratio that is universal. Small-N deviations of RN2 from the asymptotic results indicate a correction to scaling exponent Delta =1, a value that differs from previous estimates.Keywords
This publication has 15 references indexed in Scilit:
- On two-dimensional self-avoiding random walksJournal of Physics A: General Physics, 1984
- Correction-to-scaling exponents and amplitudes for the correlation length of linear polymers in two dimensionsJournal of Physics A: General Physics, 1983
- The self-avoiding walk on the honeycomb latticeJournal of Physics A: General Physics, 1983
- Correlation Length Exponent for theModel in Two Dimensions forPhysical Review Letters, 1983
- Corrections to scaling in self-avoiding walksPhysical Review A, 1983
- The critical behaviour of two-dimensional self-avoiding random walksZeitschrift für Physik B Condensed Matter, 1982
- Phenomenological renormalisation of the self avoiding walk in two dimensionsJournal of Physics A: General Physics, 1981
- Critical exponents from field theoryPhysical Review B, 1980
- The end-point distribution of self-avoiding walks on a crystal latticeJournal of Physics A: General Physics, 1971
- Mean-Square Intrachain Distances in a Self-Avoiding WalkThe Journal of Chemical Physics, 1969