Different facets of the raise and peel model
arXiv:cond-mat/0703725 · doi:10.1088/1742-5468/2007/07/P07009
Abstract
The raise and peel model is a one-dimensional stochastic model of a fluctuating interface with nonlocal interactions. This is an interesting physical model. It's phase diagram has a massive phase and a gapless phase with varying critical exponents. At the phase transition point, the model exhibits conformal invariance which is a space-time symmetry. Also at this point the model has several other facets which are the connections to associative algebras, two-dimensional fully packed loop models and combinatorics.
29 pages 17 figures