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

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2008
Major/Subject
Mcode
Degree programme
Language
en
Pages
031603/1-7
Series
Physical Review E, Volume 78, Issue 3
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.
Description
Keywords
fluid invasion, hele-shaw cells, phase fields, disorder
Other note
Citation
Laurila, T. & Pradas, M. & Hernández-Machado, A. & Ala-Nissilä, Tapio. 2008. Influence of disorder strength on phase-field models of interfacial growth. Physical Review E. Volume 78, Issue 3. P. 031603/1-7. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.78.031603.