On the universality class of planar self-avoiding surfaces with fixed boundary
- 1 February 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (2) , L105-L111
- https://doi.org/10.1088/0305-4470/20/2/011
Abstract
Using a modified version of a Monte Carlo algorithm proposed by Sterling and Greensite (1983) the authors obtain the exponents theta =1.51+or-0.25 and nu =0.502+or-0.024 for planar self-avoiding surfaces with a fixed boundary in three dimensions, consistent with the conjectured exact values for branched polymers. They show how the modifications are needed to obtain a viable distribution of surfaces.Keywords
This publication has 16 references indexed in Scilit:
- Statistical Mechanics of Tethered SurfacesPhysical Review Letters, 1986
- Monte Carlo Simulation of Self-Avoiding Surfaces in Three DimensionsPhysical Review Letters, 1986
- Non-trivial lattice random surfacesPhysics Letters B, 1985
- New Monte Carlo method for the self-avoiding walkJournal of Statistical Physics, 1985
- Phase Structure of Systems of Self-Avoiding SurfacesPhysical Review Letters, 1985
- Critical behaviour in a model of planar random surfacesNuclear Physics B, 1984
- Self-avoiding and planar random surfaces on the latticeNuclear Physics B, 1983
- Strong coupling phase in lattice gauge theories at large dimensionNuclear Physics B, 1979
- Gauge fields on a lattice. III. Strong-coupling expansions and transition pointsPhysical Review D, 1975
- Exponents for the excluded volume problem as derived by the Wilson methodPhysics Letters A, 1972