Abade Gustavo C, Cichocki Bogdan, Ekiel-Jezewska Maria L, Nägele Gerhard, Wajnryb Eligiusz
Institute of Theoretical Physics, University of Warsaw, Hoza 69, 00-681 Warsaw, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 1):020404. doi: 10.1103/PhysRevE.81.020404. Epub 2010 Feb 22.
We calculate short-time diffusion properties of suspensions of porous colloidal particles as a function of their permeability, for the full fluid-phase concentration range. The particles are modeled as spheres of uniform permeability with excluded volume interactions. Using a precise multipole method encoded in the HYDROMULTIPOLE program, results are presented for the hydrodynamic function, H(q) , sedimentation coefficient, and self-diffusion coefficients with a full account of many-body hydrodynamic interactions. While self-diffusion and sedimentation are strongly permeability dependent, the wave-number dependence of the hydrodynamic function can be reduced by appropriate shifting and scaling, to a single master curve, independent of permeability. Generic features of the permeable sphere model are discussed.
我们计算了多孔胶体颗粒悬浮液的短时扩散特性,作为其渗透率的函数,涵盖了整个流体相浓度范围。颗粒被建模为具有排除体积相互作用的均匀渗透率球体。使用编码在HYDROMULTIPOLE程序中的精确多极方法,给出了流体动力学函数H(q)、沉降系数和自扩散系数的结果,并充分考虑了多体流体动力学相互作用。虽然自扩散和沉降强烈依赖于渗透率,但通过适当的平移和缩放,流体动力学函数的波数依赖性可以简化为一条独立于渗透率的单一主曲线。文中讨论了可渗透球体模型的一般特征。