MANY-BODY ELECTROSTATIC INTERACTIONS IN ELECTRORHEOLOGICAL FLUIDS
MANY-BODY ELECTROSTATIC INTERACTIONS IN ELECTRORHEOLOGICAL FLUIDS
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DOI：
10.1103/physreve.48.2721
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发表时间：
1993-10-01
影响因子：
2.4
通讯作者：
BOSSIS, G
中科院分区：
文献类型：
--
作者：
CLERCX, HJH;BOSSIS, G
我们提出了一种基于多极展开理论的通用方法，它允许我们高效而准确地计算一组球体的静电力和介电常数。该方法被应用于对电流变液行为起重要作用的两个方面的研究。第一个是关于体心四方(BCT)晶格介电张量的主值epsilon平行和epsilon垂直的计算，以及该晶格中粒子上感生偶极子的计算。这些都是电流变流体研究中感兴趣的物理性质的严格计算。这些结果支持了在电流变液中发现的柱状聚集体应该具有BCT结构的观点。虽然以前已经给出了基于偶极方法的计算，但没有得到严格证实这一想法的结果。第二点是关于用多极矩来描述球形可极化粒子之间的多体静电力的精确解析推导。在两粒子相互作用的情况下，我们将这个力表达式与文献中的一些结果进行了比较。它与一些理想导电球体的两粒子解析表达式以及最近关于两个可极化球体之间相互作用的一些结果非常吻合。此外，我们给出了三粒子对静电力的贡献的结果，并表明这些贡献出乎意料地大。特别是，两个导电球之间的力的发散率可以通过第三个导电球的存在而显著改变。
We present a general method based on a multipole-expansion theory that allows us to calculate efficiently and accurately the electrostatic forces and the dielectric constant of an assembly of spheres. This method is applied to the study of two aspects which play an important role in the behavior of electrorheological (ER) fluids. The first one concerns the calculation of the principal values epsilon parallel-to and epsilon perpendicular-to of the dielectric tensor of the body-centered-tetragonal (bct) lattice, and the calculation of the induced dipole on the particles in this lattice. These are rigorous calculations on physical properties of interest in the study of ER fluids. These results support the idea that the columnlike aggregates which have been found in ER fluids should have a bct structure. Although calculations based on the dipolar approach were previously presented, no results are available that confirm this idea rigorously. The second point concerns an exact analytical derivation of an expression describing the many-body electrostatic forces among spherical polarizable particles in terms of the multipole moments. We have compared this force expression, in the case of two-particle interactions, to some results from the literature. It agrees very well with some analytical two-particle expressions for perfectly conducting spheres and also with some recent results concerning the interactions between two polarizable spheres. Furthermore, we present results for three-particle contributions to the electrostatic force and show that these contributions are unexpectedly large. In particular, the rate of divergence of the force between two conducting spheres can be considerably changed by the presence of a third one.