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arXiv · 1506.03291

Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics

Xiangyu Cao·Alberto Rosso·Raoul Santachiara
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Abstract

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.

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Xiangyu Cao, Alberto Rosso, Raoul Santachiara. 2015-06-10. Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics. https://doi.org/10.1209/0295-5075/111/16001

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