Derivation of kinetic equations of classical statistical mechanics in the weak-interaction approximation by the nonequilibrium statistical operator method

Kinetic equations of classical statistical mechanics in the approximation of weak interparticle interaction are derived in the framework of Zubarev's nonequilibrium statistical operator method. For systems of charged particles in a strong inhomogeneous variable external field, Silin's collision integral is obtained and, as a special case when the effect of the external fields on the particle collision process can be ignored, Landau's collision integral.