A.C. conductivity in a homogeneous plasma from a convergent collision integral

Recently a spatially uniform expression for the time asymptotic binary correlation function of a Landau-stable plasma was derived from the BBGKY hierarchy equations. In this paper, the high-frequency (Vei ≪ ‖w‖ ≪ ωpe) electrical conductivity of a spatially homogeneous, unmagnetized Lorentz plasmais calculated from this expression; the result is compared with those obtained from other convergent collision integrals.

BINARY CORRELATION FUNCTION FOR A HOMOGENEOUS PLASMA IN A UNIFORM MAGNETIC FIELD

Previous work on the application of the theory of Prigogine and Balescu to a homogeneous single-species plasma in a static uniform magnetic field has been extended. An equation for the binary correlation function has been obtained in terms of the one-particle velocity distribution, which is in turn determined by the kinetic equation previously derived. Equations for the binary spatial correlation function and the binary correlation function for the guiding centers have also been obtained. It is demonstrated that the binary spatial correlation function represents the well-known Debye-screened equilibrium correlations when the one-particle velocity distribution is the equilibrium distribution.