Fluctuations in fluid invasion into disordered media

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.98.054502

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations of the velocity are governed by a geometry-dependent length scale arising from fluid conservation. This result is compared to the statistics resulting from a non-equilibrium (depinning) transition between a moving interface and a stationary, pinned one.

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