On the theory of concentrated hard-sphere suspensions

@article{citeulike:1835891, abstract = {A systematic theory for the dynamics of hard-sphere suspensions of interacting Brownian particles with both hydrodynamic and direct interactions is presented. A generalized diffusion equation is derived for concentrated suspensions. The volume fraction ([phi]) dependence of the short- and long-time self-diffusion coefficients are thus explored from a unifying point of view. The long-range hydrodynamic interactions due to the Oseen tensor are shown to play a crucial role in both coefficients, while the short-range hydrodynamic interactions just lead to corrections. The importance of the correlation effects between particles due to the long-range hydrodynamic interactions is also stressed. The nonlocal correlation effect is an important factor, leading to the behavior of the long-time self-diffusion coefficient (DSL) as DSL ~ (1 - [phi]/[phi]0)2 near the volume fraction of [phi]0 = 0.5718. The direct interactions are also found to be drastically reduced by the short-range hydrodynamic interactions.}, author = {Tokuyama, Michio and Oppenheim, Irwin }, citeulike-article-id = {1835891}, doi = {10.1016/0378-4371(94)00280-7}, journal = {Physica A: Statistical and Theoretical Physics}, keywords = {density, diffusion}, month = {June}, number = {1-2}, pages = {85--119}, posted-at = {2008-04-28 23:24:59}, priority = {2}, title = {On the theory of concentrated hard-sphere suspensions}, url = {http://dx.doi.org/10.1016/0378-4371(94)00280-7}, volume = {216}, year = {1995} }

TY - JOUR ID - citeulike:1835891 L3 - citeulike-article-id:1835891 TI - On the theory of concentrated hard-sphere suspensions JF - Physica A: Statistical and Theoretical Physics VL - 216 IS - 1-2 SP - 85 EP - 119 N2 - A systematic theory for the dynamics of hard-sphere suspensions of interacting Brownian particles with both hydrodynamic and direct interactions is presented. A generalized diffusion equation is derived for concentrated suspensions. The volume fraction ([phi]) dependence of the short- and long-time self-diffusion coefficients are thus explored from a unifying point of view. The long-range hydrodynamic interactions due to the Oseen tensor are shown to play a crucial role in both coefficients, while the short-range hydrodynamic interactions just lead to corrections. The importance of the correlation effects between particles due to the long-range hydrodynamic interactions is also stressed. The nonlocal correlation effect is an important factor, leading to the behavior of the long-time self-diffusion coefficient (DSL) as DSL ~ (1 - [phi]/[phi]0)2 near the volume fraction of [phi]0 = 0.5718. The direct interactions are also found to be drastically reduced by the short-range hydrodynamic interactions. KW - density KW - diffusion AU - Tokuyama, Michio AU - Oppenheim, Irwin PY - 1995/06/01/ UR - http://dx.doi.org/10.1016/0378-4371(94)00280-7 ER -