Elasticity of a contact-line and avalanche-size distribution at depinning

Pierre Le Doussal; Kay Joerg Wiese

doi:10.1103/physreve.82.011108

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arXiv · 0908.4001

Elasticity of a contact-line and avalanche-size distribution at depinning

Pierre Le Doussal·Kay Joerg Wiese

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Abstract

Motivated by recent experiments, we extend the Joanny-deGennes calculation of the elasticity of a contact line to an arbitrary contact angle and an arbitrary plate inclination in presence of gravity. This requires a diagonalization of the elastic modes around the non-linear equilibrium profile, which is carried out exactly. We then make detailed predictions for the avalanche-size distribution at quasi-static depinning: we study how the universal (i.e. short-scale independent) rescaled size distribution and the ratio of moments of local to global avalanches depend on the precise form of the elastic kernel.

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Pierre Le Doussal, Kay Joerg Wiese. 2009-08-27. Elasticity of a contact-line and avalanche-size distribution at depinning. https://doi.org/10.1103/physreve.82.011108

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