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

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.

15 pages, 11 figures

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Cited by in corpus (15)

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• Disordered Elastic Systems and One-Dimensional Interfaces
• First-principle derivation of static avalanche-size distribution
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• Tuning the receding contact angle on hydrogels by addition of particles
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• The Spatial Shape of Avalanches
• Field Theory of Disordered Elastic Interfaces at 3-Loop Order: Critical Exponents and Scaling Functions
• Field Theory of Disordered Elastic Interfaces at 3-Loop Order: The $\beta$-Function
• Random field Ising model : statistical properties of low-energy excitations and of equilibrium avalanches
• Depinning in the quenched Kardar-Parisi-Zhang class I: Mappings, simulations and algorithm
• Long-range interactions in the avalanches of elastic interfaces
• Distribution of velocities in an avalanche, and related quantities: Theory and numerical verification
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles