Conformal Invariance of Iso-height Lines in two-dimensional KPZ Surface
| dc.creator | Saberi, A. A. | |
| dc.creator | Niry, M. D. | |
| dc.creator | Fazeli, S. M. | |
| dc.creator | Tabar, M. R. Rahimi | |
| dc.creator | Rouhani, S. | |
| dc.date | 2008-03-07 | |
| dc.date.accessioned | 2026-07-07T12:54:36Z | |
| dc.date.available | 2026-07-07T12:54:36Z | |
| dc.description | The statistics of the iso-height lines in (2+1)-dimensional Kardar-Parisi-Zhang (KPZ) model is shown to be conformal invariant and equivalent to those of self-avoiding random walks. This leads to a rich variety of new exact analytical results for the KPZ dynamics. We present direct evidence that the iso-height lines can be described by the family of conformal invariant curves called Schramm-Loewner evolution (or $SLE_κ$) with diffusivity $κ=8/3$. It is shown that the absence of the non-linear term in the KPZ equation will change the diffusivity $κ$ from 8/3 to 4, indicating that the iso-height lines of the Edwards-Wilkinson (EW) surface are also conformally invariant, and belong to the universality class of the domain walls in the O(2) spin model. | |
| dc.description | 4 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0803.1051 | |
| dc.identifier | http://arxiv.org/abs/0803.1051 | |
| dc.identifier | Phys. Rev. E 77, 051607 (2008) | |
| dc.identifier | doi:10.1103/PhysRevE.77.051607 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223994 | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.subject | Fluid Dynamics | |
| dc.title | Conformal Invariance of Iso-height Lines in two-dimensional KPZ Surface | |
| dc.type | text |