Boundary crossover in non-equilibrium growth processes

Autor:	Allegra, Nicolas, Fortin, Jean-Yves, Henkel, Malte
Rok vydání:	2013
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Chaotic Dynamics 68.35.Rh 05.40.-a 81.10.Aj 05.10.Gg 05.70.Ln
Zdroj:	J. Stat. Mech. (2014) P02018
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-5468/2014/02/P02018
Popis:	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. Comment: 11 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1309.1634 Zobrazit plný text záznamu View this record from Arxiv