Sun, 27 Jul 2008 07:42:34 BST CiteULike: dchen's library [900 articles] http://www.citeulike.org/user/dchen/article/1835891 CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/dchen/article/1835891 <i>Physica A: Statistical and Theoretical Physics, Vol. 216, No. 1-2. (1 June 1995), pp. 85-119.</i><br /><br />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. On the theory of concentrated hard-sphere suspensions Michio Tokuyama Irwin Oppenheim doi:10.1016/0378-4371(94)00280-7 Physica A: Statistical and Theoretical Physics, Vol. 216, No. 1-2. (1 June 1995), pp. 85-119. 2007-10-29T15:17:13-00:00 1995 Physica A: Statistical and Theoretical Physics 216 1-2 85 119 density diffusion