Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-08-28
Physics
Condensed Matter
Disordered Systems and Neural Networks
Accepted for publication in PRE
Scientific paper
10.1103/PhysRevE.78.031603
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.
Ala-Nissila Tapio
Hernandez-Machado Aurora
Laurila Tuomas
Pradas Marc
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