Convergent Classical Kinetic Equation for a Plasma

Abstract
A kinetic equation for a plasma of electrons and infinite mass ions is derived which exhibits no divergences for any impact parameter. The basic expansion used is in nλD 3, the number of particles in a Debye sphere. The collision operator has Boltzmann, Fokker‐Planck, and Lenard‐Balescu behavior in the appropriate impact parameter regimes.