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Influence of disorder strength on phase-field models of interfacial growth

Laurila, T.; Pradas, M.; Hernández-Machado, A. and Ala-Nissila, T. (2008). Influence of disorder strength on phase-field models of interfacial growth. Physical Review E, 78(3) 031603.

DOI (Digital Object Identifier) Link: https://doi.org/10.1103/PhysRevE.78.031603
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Abstract

We study the influence of disorder strength on the interface roughening process in a phase-field model with locally conserved dynamics. We consider two cases where the mobility coefficient multiplying the locally conserved current is either constant throughout the system (the two-sided model) or becomes zero in the phase into which the interface advances (one-sided model). In the limit of weak disorder, both models are completely equivalent and can reproduce the physical process of a fluid diffusively invading a porous media, where super-rough scaling of the interface fluctuations occurs. On the other hand, increasing disorder causes the scaling properties to change to intrinsic anomalous scaling. In the limit of strong disorder this behavior prevails for the one-sided model, whereas for the two-sided case, nucleation of domains in front of the invading front are observed.

Item Type: Journal Item
Copyright Holders: 2008 The American Physical Society
ISSN: 1550-2376
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetGrant No. FIS2006-12253-C06-05DGI of the Ministerio de Educación y Ciencia (Spain)
TransPoly consortium and COMP Center of Excellence grantsNot SetAcademy of Finland
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 41207
Depositing User: Marc Pradas
Date Deposited: 30 Oct 2014 12:21
Last Modified: 07 Dec 2018 10:26
URI: http://oro.open.ac.uk/id/eprint/41207
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