Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics
1 Laboratoire de Physique Thèorique et Modèles Statistiques (UMR 8626) - Universitè Paris Sud 11, CNRS, France
Received: 10 June 2015
Accepted: 8 July 2015
We study scaling properties of the honeycomb fully packed loop ensemble associated with a lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kardar-Parisi-Zhang (KPZ)–type dynamics. We show numerically that conformal invariance and signatures of critical percolation appear in the stationary KPZ state. In terms of the two-component Coulomb gas description of the Edwards-Wilkinson stationary state, our finding is understood as the invariance of one component under the effect of the non-linear KPZ term. On the other hand, we show a breaking of conformal invariance when the level lines of the other component are considered.
PACS: 64.70.qj – Dynamics and criticality / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2015