The statistical distribution function introduced by Boltzmann and his ki-
netic equation are the fundamental basis of the kinetic theory of gases and of the basic
methods of solution of problems in the gas dynamics. At present time one of the areas of high
interest in modern physics is the plasma in fusion processes and astrophysics which requires an
extension of the kinetic processes to charged particles, in particular regard- ing the
electromagnetic interactions. We propose a unified distribution function which includes the
electromagnetic interactions for charged particles and is suitable for the solu- tion of problems
of charged particle dynamics with Boltzmann type equations and kinetic
consistent magneto gas dynamic equations
