In this paper, we perform flexible and reliable dynamics simulations on different sizes of two or more particles’ interactive motions, where they encounter positive or negative dielectrophoresis (DEP) forces. The particles with identical or non-identical size are in close proximity suspended freely in a solution under a homogeneous electric field. According to the description of classic dipole moment, DEP forces make the particles form a straight chain. Therefore, dynamics simulation based on Newton’s laws is utilized to understand AC DEP phenomena among multiple particles. To solve the relevant governing equations, Stokes drag and repulsive forces (including wall and particles) are combined with DEP forces to obtain the trajectories of particles. Results show that particles with the same sign of the Clausius–Mossotti (CM) factor revolve clockwise or counterclockwise to attract each other parallel to the electric field direction. Conversely, the particle chain is perpendicular to the field. This programmable advantage is of great benefit to the study of three or four particle motions. Meanwhile, the pearl chain consisting of three or four particles is related not only to an individual CM factor but also to initial spatial configuration. Both the cluster and short chain are dependent on symmetry between the geometric distribution and electric field, while it implies different size particles easily cause the chain structure with less time.

中文翻译：

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通过介电泳扩大动力学模拟对不同尺寸颗粒-颗粒相互作用的灵活性

在本文中，我们对两个或多个粒子的不同大小的交互运动进行了灵活可靠的动力学模拟，其中它们遇到正或负介电泳 (DEP) 力。具有相同或不同尺寸的颗粒在均匀电场下紧密地自由悬浮在溶液中。根据经典偶极矩的描述，DEP 力使粒子形成直链。因此，利用基于牛顿定律的动力学模拟来理解多个粒子之间的 AC DEP 现象。为了求解相关的控制方程，斯托克斯阻力和排斥力（包括壁面和粒子）与 DEP 力相结合，以获得粒子的轨迹。结果表明，具有相同符号 Clausius-Mossotti (CM) 因子的粒子顺时针或逆时针旋转以平行于电场方向相互吸引。相反，粒子链垂直于场。这种可编程的优势对研究三个或四个粒子运动大有裨益。同时，由三个或四个粒子组成的珍珠链不仅与单个 CM 因子有关，而且与初始空间配置有关。簇和短链都依赖于几何分布和电场之间的对称性，而这意味着不同尺寸的粒子很容易在更短的时间内形成链状结构。这种可编程的优势对研究三个或四个粒子运动大有裨益。同时，由三个或四个粒子组成的珍珠链不仅与单个 CM 因子有关，而且与初始空间配置有关。簇和短链都依赖于几何分布和电场之间的对称性，而这意味着不同尺寸的粒子很容易在更短的时间内形成链状结构。这种可编程的优势对研究三个或四个粒子运动大有裨益。同时，由三个或四个粒子组成的珍珠链不仅与单个 CM 因子有关，而且与初始空间配置有关。簇和短链都依赖于几何分布和电场之间的对称性，而这意味着不同尺寸的粒子很容易在更短的时间内形成链状结构。