1999/03/27 by Pierre Le Doussal, Kay Jörg Wiese, Kay Joerg Wiese +1 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Classical mechanics #Computer science #Distribution (mathematics) #Elasticity (physics) #Force Microscopy Techniques and Applications #Kernel (algebra) #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Physics #Quantum mechanics #Quasistatic process #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn #cond-mat.soft
paper · pdf · doi:10.1103/physreve.82.011108
published as Phys. Rev. E 82 (2010) 011108 · 15 pages, 11 figures
openalex publication_date 1999/03/27 · arxiv created 2009/08/27 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/04/28
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 nonlinear equilibrium profile, which is carried out exactly. We then make detailed predictions for the avalanche-size distribution at quasistatic 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.