论文标题
均匀电场中的粒子表面相互作用
Particle-surface interactions in a uniform electric field
论文作者
论文摘要
计算了平面表面附近的球形粒子上的静电力，该静电场是针对正常或切向方向施加的均匀电场的情况。假定粒子和悬浮培养基是弱导电的，因此适用泄漏的介电模型。电势的拉普拉斯方程在双极坐标系中求解，并根据Legendre多项式的串联扩展获得了电势。使用麦克斯韦张量计算粒子上的力。我们发现，在正常电场的情况下，该电场对应于电极附近的粒子，该力总是吸引人的，但在给定的分离下，它随着粒子悬浮的介质电导率比而非试图变化。与悬浮培养基相比，与悬浮培养基相比，粒子上的力更大要大得多，而粒子上的力比悬浮培养基少的粒子上的力。在切向电场的情况下，该电场对应于隔热边界附近的粒子，该力总是排斥的。
The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to be weakly conducting, so that that the leaky dielectric model applies. The Laplace equation for the electric potential is solved in bipolar coordinate system and the potential is obtained in terms of a series expansion of Legendre polynomials. The force on the particle is calculated using the Maxwell tensor. We find that in the case of normal electric field, which corresponds to a particle near an electrode, the force is always attractive but at a given separation it varies nontrivially with particle-suspending medium conductivity ratio; the force on a particle that is more conducting than the suspending medium is much larger compared to the force on a particle less conducing than the suspending medium. In the case of tangential electric field, which corresponds to a particle near an insulating boundary, the force is always repulsive.
