电介质表面上的平衡电荷分布
On equilibrium charge distribution above dielectric surface
摘要：
本文给出了介质表面上带电多粒子系统的平衡态问题，考虑了存在和不存在外部引力场的情况。得到了理想平面介质表面情况下系统中电荷的平衡分布和由电荷产生的电场。在由介质表面引起的小的空间不均匀性的情况下，系统的静电方程的解也得到了。这些空间不均匀性可以由表面的不均匀性和表面上的不均匀电荷分布引起。考虑到可能存在的表面电荷，考虑空间周期性表面。
英文摘要：
The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium distributions of charges and the electric field, which is generated by these charges in the system in the case of ideally plane dielectric surface, are obtained. The solution of electrostatic equations of the system under consideration in case of small spatial heterogeneities caused by the dielectric surface, is also obtained. These spatial inhomogeneities can be caused both by the inhomogeneities of the surface and by the inhomogeneous charge distribution upon it. In particular, the case of the .wavy. spatially periodic surface is considered taking into account the possible presence of the surface charges.
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