{
  "id": "1205.5157",
  "version": "v2",
  "published": "2012-05-23T11:24:21.000Z",
  "updated": "2012-07-05T12:07:44.000Z",
  "title": "Complementarity problems for two pairs of charged bodies",
  "authors": [
    "A. A. Kolpakov",
    "A. G. Kolpakov"
  ],
  "comment": "typos corrected",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "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 [1]), which do not influence the interaction of the bodies; the bodies interact due to the classical electrical forces [2] 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 $Ox_3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-05T12:07:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q70"
    ],
    "keywords": [
      "charged bodies",
      "complementarity problems",
      "interaction",
      "inner forces",
      "bodies interact"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5157K"
    }
  }
}