接触导体球对电荷分配的数值模拟

Numerical simulation to the charge re-distribution on conducting spheres

自由空间中两个带电导体接触瞬间,即可实现电荷的重新分配。由于导体合二为一,构成了形状复杂的单一导体,带来了电荷分配计算的困难。采用数值模拟可以很好地解决该问题。其中一个典型的模型是不同尺寸的接触导体球对。采用优化离散表面点电荷体系位形的方法实现总能量最小化,求得了导体球对电荷分配与其尺寸之间的数值关系。

The charges will soon be re-distributed when two charged conductors are connected.The electrical contact makes two conductors into a complex conductor.Consequently,the re-distribution of the charges is difficult to be solved.Thus numerical simulation is applied to solve this problem.One typical model is a system of two conducting spheres with different size and charges.To realize the purpose of total energy minimizations,the optimization of coordinated surface charges is adopted.The ratio relation between the charge re-distribution by conducting spheres and their sizes can be achieved.