A Kinetic Theoretical Investigation of a Fully Ionized Gas. Part III - a Theory of Electron Gas.

摘要

A kinetic theory of electron gas has been developed. At the first step of approximation, one field electron interacts with the test electron in the sense of Boltzmann's binary collision when those two particles are their mutual nearest neighbors; otherwise the field electron, with the others, exerts a force of the Vlasov type on the test electron. At this stage of approximation, one field electron represents all the field electrons: there is no mutual correlation among the field electrons. In the second approximation, where two electrons represent the field electrons, the pair of field electrons, when they are mutual nearest neighbors, become a source of fluctuation force-field due to their mutual interaction. In the third approximation, three electron represent the field electrons. As the step of approximation proceeds, the pairs of electrons produce more complex force-fields by their mutual interactions. The kinetic equation of the single-particle distribution function contains interaction terms of the Vlasov type, of the Boltzmann type and of the Pokker-Planck type. There is no difficulty of divergence in the effect. (Author)