Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk
- 21 June 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (9) , 2569-2576
- https://doi.org/10.1088/0305-4470/20/9/040
Abstract
The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.Keywords
This publication has 45 references indexed in Scilit:
- Dynamic critical exponent of some Monte Carlo algorithms for the self-avoiding walkJournal of Physics A: General Physics, 1986
- On the critical behavior of the magnetization in high-dimensional Ising modelsJournal of Statistical Physics, 1986
- A new Monte Carlo simulation for two models of self-avoiding lattice trees in two dimensionsJournal of Statistical Physics, 1985
- New Monte Carlo method for the self-avoiding walkJournal of Statistical Physics, 1985
- On the renormalized coupling constant and the susceptibility in φ44 field theory and the Ising model in four dimensionsNuclear Physics B, 1983
- Polymers and g|φ|4 theory in four dimensionsNuclear Physics B, 1983
- A new Monte-Carlo approach to the critical properties of self-avoiding random walksJournal de Physique, 1983
- Geometric analysis of ?4 fields and Ising models. Parts I and IICommunications in Mathematical Physics, 1982
- Random paths and random surfaces on a digital computerPhysics Letters B, 1981
- Analysis of hyperscaling in the Ising model by the high-temperature series methodPhysical Review B, 1977