Published December 3, 2004
| Version v1
Journal article
Improved lower bounds on the connective constants for two-dimensional self-avoiding walks
Creators
- 1. ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, University of Melbourne, Victoria 3010 (Australia)
Description
We calculate improved lower bounds for the connective constants for self-avoiding walks on the square, hexagonal, triangular, (4.82) and (3.122) lattices. The bound is found by Kesten's method of irreducible bridges. This involves using transfer-matrix techniques to exactly enumerate the number of bridges of a given span to very many steps. Upper bounds are obtained from recent exact enumeration data for the number of self-avoiding walks and compared to current best available upper bounds from other methods
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/11521/a4_48_001.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/11521/a4_48_001.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/48/001;
- PII
- S0305-4470(04)86321-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 48
- Journal Page Range
- p. 11521-11529
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046664
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EXACT SOLUTIONS; GRAPH THEORY; LATTICE FIELD THEORY; TRANSFER MATRIX METHOD; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CALCULATION METHODS; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUANTUM FIELD THEORY