Boundary crossover in non-equilibrium growth processes
Statistical Mechanics
2014-10-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
The growth of stochastic interfaces in the vicinity of a boundary and the non-trivial crossover towards the behaviour deep in the bulk is analysed. The causal interactions of the interface with the boundary lead to a roughness larger near to the boundary than deep in the bulk. This is exemplified in the semi-infinite Edwards-Wilkinson model in one dimension, both from its exact solution and numerical simulations, as well as from simulations on the semi-infinite one-dimensional Kardar-Parisi-Zhang model. The non-stationary scaling of interface heights and widths is analyzed and a universal scaling form for the local height profile is proposed.
Cite
@article{arxiv.1309.1634,
title = {Boundary crossover in non-equilibrium growth processes},
author = {Nicolas Allegra and Jean-Yves Fortin and Malte Henkel},
journal= {arXiv preprint arXiv:1309.1634},
year = {2014}
}
Comments
11 pages, 5 figures