A New Exponent Characterizing the Effect of Evaporation on Imbibition Experiments

Physics – Condensed Matter

Scientific paper

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12 pages, REVTeX 3.0, figures on request (accepted for PRL)

Scientific paper

10.1103/PhysRevLett.72.641

We report imbibition experiments investigating the effect of evaporation on the interface roughness and mean interface height. We observe a new exponent characterizing the scaling of the saturated surface width. Further, we argue that evaporation can be usefully modeled by introducing a gradient in the strength of the disorder, in analogy with the gradient percolation model of Sapoval {\it et~al.}. By incorporating this gradient we predict a new critical exponent and a novel scaling relation for the interface width. Both the exponent value and the form of the scaling agree with the experimental results.

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