Computer simulations of isolated conductors in electrostatic equilibrium.
Computer simulations of isolated conductors in electrostatic equilibrium.
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DOI：
10.1103/physreve.78.056704
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发表时间：
2008-11
期刊：
影响因子：
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通讯作者：
Herng-Hua Chang
中科院分区：
文献类型：
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作者：
Herng-Hua Chang
本文介绍了一种研究孤立导体静电平衡特性的计算机仿真模型。在电子和它们如何移动到孤立导体表面之间进行类比，我们随机初始化模拟导体中心一个小区域内的大量粒子，并根据它们的排斥力推进它们。通过使用与泊松方程相关联的有限尺寸粒子方法的优化的数值技术，使用快速傅立叶变换快速推进粒子，并且使用细胞中的云方法有效地共享它们的电荷。模拟中的粒子群范围从50 x 10;{3}到1 x 10;{6}，在相当于128 x 128、256 x 256和512 x 512网格的各种计算域中移动。当粒子达到静电平衡时，它们位于模拟导体的边界上，从该边界获得平衡性质。与静电学和带电导体的理论相一致，我们发现粒子以静电能量最小化的方式响应于导体几何形状而移动。利用所提出的计算机模拟模型对平衡性质进行了较好的近似计算。
A computer simulation model is introduced to study the characteristics of isolated conductors in electrostatic equilibrium. Drawing an analogy between electrons and how they move to the surface of isolated conductors, we randomly initialize a large number of particles inside a small region at the center of simulated conductors and advance them according to their forces of repulsion. By use of optimized numerical techniques of the finite-size particle method associated with Poisson's equation, the particles are quickly advanced using a fast Fourier transform and their charge is efficiently shared using the clouds-in-cells method. The particle populations in the simulations range from 50x10;{3} to 1x10;{6} that move in various computation domains equal to 128x128 , 256x256 , and 512x512 grids. When the particles come to an electrostatic equilibrium, they lie on the boundaries of the simulated conductors, from which the equilibrium properties are obtained. Consistent with the theory of electrostatics and charged conductors, we found that the particles move in response to the conductor geometry in such a way that the electrostatic energy is minimized. Good approximation results for the equilibrium properties were obtained using the proposed computer simulation model.