The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class
Statistical Mechanics
2015-05-20 v3 Mathematical Physics
math.MP
Abstract
We explain the exact solution of the 1+1 dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to the KPZ universality class, not only as regards to scaling exponents but also as regards to the full probability distribution of the height in the long time limit.
Keywords
Cite
@article{arxiv.1010.2691,
title = {The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class},
author = {Tomohiro Sasamoto and Herbert Spohn},
journal= {arXiv preprint arXiv:1010.2691},
year = {2015}
}
Comments
Proceedings StatPhys 24