Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition

Details Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition

2004-12-27

arxiv.org/abs/cond-mat/0412688v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.95.104501

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic exponent z \simeq 3, indicative of global dynamics driven by capillary forces. The complete set of exponents clearly shows that interfaces are not self-affine, exhibiting distinct local and global scaling, both for time (b=0.64\pm 0.02, b* =0.33 \pm 0.03) and space (a=1.94 \pm 0.20, a_loc=0.94 \pm 0.10). These values are compatible with an intrinsic anomalous scaling scenario.

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