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Time-dependent couplings and crossover length scales in nonequilibrium surface roughening

Pradas, Marc; López, Juan M. and Hernández-Machado, A. (2007). Time-dependent couplings and crossover length scales in nonequilibrium surface roughening. Physical Review E, 76(1) 010102.

DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.76.010102
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Abstract

We show that time-dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in nonequilibrium kinetic roughening models. Three typical situations are studied. In the case of a crossover between two different rough regimes, the time dependent coupling may result in anomalous scaling for scales above the crossover length. In a different setting, for a crossover from a rough to either a flat or damping regime, the time-dependent crossover length may conspire to produce a rough surface, although the most relevant term tends to flatten the surface. In addition, our analysis sheds light into an existing debate in the problem of spontaneous imbibition, where time-dependent couplings naturally arise in theoretical models and experiments.

Item Type: Journal Item
Copyright Holders: 2007 The American Physical Society
ISSN: 1550-2376
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetGrant No. FIS2006-12253-C06-04DGI of the Ministerio de Educación y Ciencia (Spain)
Not SetGrant No. FIS2006-12253-C06-05DGI of the Ministerio de Educación y Ciencia (Spain
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41204
Depositing User: Marc Pradas
Date Deposited: 30 Oct 2014 11:49
Last Modified: 07 Dec 2018 10:26
URI: http://oro.open.ac.uk/id/eprint/41204
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