Different facets of the raise and peel model

Details Different facets of the raise and peel model Different facets of the raise and peel model

2007-03-27

arxiv.org/abs/cond-mat/0703725v2

J. Stat. Mech. P07009 (2007)

Physics

Condensed Matter

Statistical Mechanics

29 pages 17 figures

Scientific paper

10.1088/1742-5468/2007/07/P07009

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.

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