| Issue |
EPL
Volume 111, Number 1, July 2015
|
|
|---|---|---|
| Article Number | 16001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
| DOI | https://doi.org/10.1209/0295-5075/111/16001 | |
| Published online | 24 July 2015 | |
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.