The Pathological Behaviour of Sheared Hard Spheres with Hydrodynamic Interactions

@article{el00127, abstract = {We present numerical evidence that the ideal model of sheared concentrated hard spheres with just hydrodynamic interactions does not reach a steady state. The distribution of gaps between particles collapses to ever smaller values as strain is increased from rest until the problem becomes numerically intractable. The case of the Reynolds lubrication interaction is marginal in a more general family of models in which viscous interactions diverge as a power law of the inverse interparticle gap. The non-equilibrium hard-sphere model represents a limiting pathology for real colloids.}, author = {Melrose, J. R. and Ball, R. C. }, citeulike-article-id = {2615735}, comment = {== evidence that ideal hard sphere system with hydrodynamic interactions does not reach steady state}, doi = {10.1209/0295-5075/32/6/013}, journal = {EPL (Europhysics Letters)}, keywords = {el00127}, number = {6}, pages = {535--540}, posted-at = {2008-03-31 11:26:38}, priority = {5}, title = {The Pathological Behaviour of Sheared Hard Spheres with Hydrodynamic Interactions}, url = {http://dx.doi.org/10.1209/0295-5075/32/6/013}, volume = {32}, year = {1995} }

TY - JOUR ID - el00127 L3 - citeulike-article-id:2615735 TI - The Pathological Behaviour of Sheared Hard Spheres with Hydrodynamic Interactions JF - EPL (Europhysics Letters) VL - 32 IS - 6 SP - 535 EP - 540 N2 - We present numerical evidence that the ideal model of sheared concentrated hard spheres with just hydrodynamic interactions does not reach a steady state. The distribution of gaps between particles collapses to ever smaller values as strain is increased from rest until the problem becomes numerically intractable. The case of the Reynolds lubrication interaction is marginal in a more general family of models in which viscous interactions diverge as a power law of the inverse interparticle gap. The non-equilibrium hard-sphere model represents a limiting pathology for real colloids. KW - el00127 N1 - == evidence that ideal hard sphere system with hydrodynamic interactions does not reach steady state AU - Melrose, JR AU - Ball, RC PY - 1995/// UR - http://dx.doi.org/10.1209/0295-5075/32/6/013 ER -