Particle interactions in three-dimensional electrical field simulated by iterative dipole moment method

Particle interactions in three-dimensional electrical field simulated by iterative dipole moment method
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迭代偶极矩法模拟三维电场中粒子相互作用

DOI:
10.1142/s0217984916501566
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发表时间:
2016-06
影响因子:
1.9
通讯作者:
Wu Jiankang
Wu Jiankang
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Liu Le;Xie Chuanchuan;Chen Bo;Wu Jiankang

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利用麦克斯韦应力张量(MST)方法研究了均匀二维电场中多个粒子的介电泳(DEP)相互作用。本文采用无需复杂数值计算的解析算法--迭代偶极矩法(IDM)求解三维电场中的多粒子相互作用。结果表明,IDM方法计算的颗粒间相互作用力与MST方法计算的颗粒间相互作用力吻合较好,且易于实现。利用IDM方法,给出了一系列三维均匀直流电场中多粒子相互作用和粒子链的例子。在3D均匀电场中随机分布的相似致密颗粒(所有正DEP(pDEP)或所有负DEP(nDEP)颗粒)通常可以在平行于电场的线中形成链,除了所有相似颗粒在垂直于电场的平面中的情况,其中颗粒彼此排斥并在平面中移动离开。随机分布的不相似的致密颗粒(pDEP和nDEP颗粒的混合物)可以形成(1)线状链,(2)平面簇或(3)3D组。pDEP和nDEP颗粒在垂直于电场的方向上交错排列形成链状、簇状和团状结构。
The dielectrophoresis (DEP) interactions of a few particles in a uniform two-dimensional (2D) electrical field have well been studied by Maxwell stress tensor (MST) method. Multiple particle interactions in three-dimensional (3D) electrical field are investigated in this work using iterative dipole moment (IDM) method which is an analytic algorithm without complicated numerical computations to solve for electrical field. The interactive DEP forces of particles calculated by IDM are found to be well agreed with those of MST method and much simple to implement. Using IDM method, a series of examples of multiple particles interactions and particle chains in a 3D uniform DC electrical field is presented. Randomly distributed similar dense particles (either all positive DEP (pDEP) or all negative DEP (nDEP) particles) in 3D uniform electrical field can generally form chains in lines parallel to the electrical field, except the case that all similar particles are in a plane perpendicular to the electrical field where the particles repel each other and move away in the plane. Randomly distributed dissimilar dense particles (mixture of pDEP and nDEP particles) can form (1) chains in lines, (2) clusters in a plane or (3) 3D groups. The chains, clusters and groups are of staggered arrangements of pDEP and nDEP particles, which are perpendicular to the electrical field.
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