A microscopic approach to statistical description of the system of neutral particles: the extended method of phase density

A closed hierarchy of evolution equations for multiparticle microscopic (phase) densities defined in 6-dimensional phase space is proposed. It is a natural extension imposed by Klimontovich conceptions of one- and two-particle gas microscopic density. Gas is considered as a system of a large number of different type neutral point particles moving under the influence of fields generated by both external sources and internal ones (surrounding particles). The equations of evolution are shown to be derived from first principles based on rigorous classical description of the dynamic behavior of an individual system of microscopic particles.