Several Constants Arising in Statistical Mechanics
arXiv:math/9810155
Abstract
This is a brief survey of certain constants associated with random lattice models, including self-avoiding walks, polyominoes, the Lenz-Ising model, monomers and dimers, ice models, hard squares and hexagons, and percolation models.
14 pages, 5 figures, submitted to Annals of Combinatorics special issue on Statistical Mechanics and Combinatorics
References in corpus (3)
- Critical Exponents, Hyperscaling and Universal Amplitude Ratios for Two- and Three-Dimensional Self-Avoiding Walks
- N-vector spin models on the sc and the bcc lattices: a study of the critical behavior of the susceptibility and of the correlation length by high temperature series extended to order beta^{21}
- New Lower Bounds on the Self-Avoiding-Walk Connective Constant