000216279 001__ 216279
000216279 005__ 20181203024147.0
000216279 0247_ $$2doi$$a10.1103/PhysRevE.93.012903
000216279 022__ $$a1539-3755
000216279 02470 $$2ISI$$a000367901000023
000216279 037__ $$aARTICLE
000216279 245__ $$aModel for the erosion onset of a granular bed sheared by a viscous fluid
000216279 260__ $$bAmer Physical Soc$$c2016$$aCollege Pk
000216279 269__ $$a2016
000216279 300__ $$a5
000216279 336__ $$aJournal Articles
000216279 520__ $$aWe study theoretically the erosion threshold of a granular bed forced by a viscous fluid. We first introduce a model of interacting particles driven on a rough substrate. It predicts a continuous transition at some threshold forcing theta(c), beyond which the particle current grows linearly J similar to theta - theta(c). The stationary state is reached after a transient time t(conv) which diverges near the transition as t(conv) similar to vertical bar theta - theta(c)|(-z) with z approximate to 2.5. Both features are consistent with experiments. The model also makes quantitative testable predictions for the drainage pattern: The distribution P(sigma) of local current is found to be extremely broad with P(sigma) similar to J/sigma, and spatial correlations for the current are negligible in the direction transverse to forcing, but long-range parallel to it. We explain some of these features using a scaling argument and a mean-field approximation that builds an analogy with q models. We discuss the relationship between our erosion model and models for the plastic depinning transition of vortex lattices in dirty superconductors, where our results may also apply.
000216279 700__ $$uNYU, Dept Phys, Ctr Soft Matter Res, New York, NY 10003 USA$$aYan, Le
000216279 700__ $$uEcole Polytech Univ, Paris, France$$aBarizien, Antoine
000216279 700__ $$g263767$$0249400$$uNYU, Dept Phys, Ctr Soft Matter Res, New York, NY 10003 USA$$aWyart, Matthieu
000216279 773__ $$j93$$tPhysical Review E$$k1$$q012903
000216279 909C0 $$xU13087$$0252562$$pPCSL
000216279 909CO $$pSB$$particle$$ooai:infoscience.tind.io:216279
000216279 917Z8 $$x173008
000216279 917Z8 $$x173008
000216279 937__ $$aEPFL-ARTICLE-216279
000216279 973__ $$rREVIEWED$$sPUBLISHED$$aEPFL
000216279 980__ $$aARTICLE