Abstract
ABSTRACT In this paper we consider equilibrium distributions of electrons in electric and magnetic fields such that the distribution function only depends on the invariants of the motion of the individual particles. W assume the motion to be collision-free and determine the electric and magnetic fields as functions of the parameters of the distribution function, for which we assume a particularly simple form. The purpose of such a study is to try to obtain information about the reverse procedure, that is, constructing equilibrium distributions for a given field configuration. It seems, from the results obtained in the most simple case discussed here, that the method used in the present paper docs not offer much promise of being able to decide thy equilibrium distribution for a given field configuration, since the number of parameters in the solutions for the field is too largo to enable us to see its behaviour when we vary the distribution function.
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