Stark H, Ventzki D
Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 1):031711. doi: 10.1103/PhysRevE.64.031711. Epub 2001 Aug 30.
As a first approach to the motion of particles in anisotropic liquids, we study the Stokes drag of spherical particles in three different nematic environments: a uniform director field, the Saturn-ring configuration, and the dipole configuration. Two independent friction coefficients for the respective motion parallel and perpendicular to the overall symmetry axis exist. We determine these coefficients by solving the Ericksen-Leslie equations for low Ericksen numbers, i.e., when the director field is not influenced by the flow of the liquid crystal around the particle. We present streamline patterns and interpret them. Compared to the uniform director field and the Saturn-ring configuration, the dipolar configuration lacks a mirror plane as a symmetry element whose consequences we illustrate.
作为研究各向异性液体中粒子运动的第一步，我们研究了球形粒子在三种不同向列环境中的斯托克斯阻力：均匀指向矢场、土星环构型和偶极构型。对于平行和垂直于整体对称轴的各自运动，存在两个独立的摩擦系数。我们通过求解低埃里克森数下的埃里克森 - 莱斯利方程来确定这些系数，即当指向矢场不受粒子周围液晶流动影响时。我们展示了流线模式并对其进行解释。与均匀指向矢场和土星环构型相比，偶极构型缺乏一个作为对称元素的镜面，我们说明了其后果。
