1205.5157 (A. A. Kolpakov et al.)

Complimentary problems for two pairs of charged bodies    [PDF]

A. A. Kolpakov, A. G. Kolpakov

We consider an interaction of charged bodies under the following simplified conditions: the distribution of charge over each body is stable; the interaction of bodies is governed by electrical forces only. Physically, these assumptions can be treated as the following decomposition of charges: the structure of each body is assumed to be stable due to inner forces (say, quantum forces), which do not influence the interaction of the bodies; the bodies interact due to the classical electrical forces only. In this model, the role of inner forces is to create a specific stable distribution of the charge over a body. We assume that the charge distribution over a body can be described by the density of the charge. In our model, the distribution of the charge is the property of a body and does not change in the process of the bodies' interaction. For the simplicity we assume that the bodies are similar in the sense of geometry, say, occupy domain $Q$ and have a preferable direction of interaction denoted by $Ox_3$.

View original: http://arxiv.org/abs/1205.5157