Different facets of the raise and peel model

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

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Cited by in corpus (7)

• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Some Exact Results for the Exclusion Process
• Shared Information in Stationary States at Criticality
• Nonlocal Asymmetric exclusion process on a ring and conformal invariance
• KPZ modes in $d$-dimensional directed polymers
• From conformal invariance to quasistationary states
• Avalanches in the Raise and Peel model in the presence of a wall