Statistics of the true self-avoiding walk in one dimension
- 1 January 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (1) , L9-L14
- https://doi.org/10.1088/0305-4470/17/1/003
Abstract
Numerical results of a Monte Carlo study for the true self-avoiding walk in one dimension are presented. For any positive value of the strength parameter (0N and the range SN of the walk are characterised by two universal exponents nu =2/3+or-0.003 and s=2/3+or-0.01 respectively. For negative g (self-attracting walk) both RN and SN exhibit a saturation effect: limN to infinity RN=Rinfinity (g) and limN to infinity SN=Sinfinity (g) with Rinfinity (g) approximately (-g)-1 and Sinfinity (g) approximately (-g)-1 at g<or approximately=0. A simple scaling analysis in N and g is proposed and found to be consistent with the Monte Carlo results.Keywords
This publication has 3 references indexed in Scilit:
- Critical dimensionality and exponent of the "true" self-avoiding walkPhysical Review B, 1983
- Renormalisation of the 'true' self-avoiding walkJournal of Physics A: General Physics, 1983
- Asymptotic behavior of the "true" self-avoiding walkPhysical Review B, 1983