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Liquid Conservation and Non-local Interface Dynamics in Imbibition

M. Dube·M. Rost·K. Elder·M. Alava·S. Majaniemi·T. Ala-Nissila
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Abstract

The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder is introduced through a quenched random field. Liquid conservation leads to slowing down of the average interface position H and imposes an intrinsic correlation length ξ_\times \sim H^{1/2} on the spatial fluctuations of the interface. The interface is statistically self affine in space, with global roughness exponent χ\simeq 1.25 and exhibits anomalous scaling.

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M. Dube, M. Rost, K. Elder, M. Alava, S. Majaniemi, T. Ala-Nissila. 1999-07-26. Liquid Conservation and Non-local Interface Dynamics in Imbibition. https://doi.org/10.1103/physrevlett.83.1628

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