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

T. Laurila, M. Pradas, A. Hernández-Machado, T. Ala-Nissilä

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)
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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.
Original languageEnglish
Article number031603
Pages (from-to)1-7
JournalPhysical Review E
Volume78
Issue number3
DOIs
Publication statusPublished - 2008
MoE publication typeA1 Journal article-refereed

Keywords

  • disorder
  • fluid invasion
  • hele-shaw cell
  • phase fields

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