On the Evolution of the Probability Distributions and of the Correlation Functions in a Bogolubov Plasma

摘要

Recently a matrix formulation of nonequilibrium statistical mechanics was developed and applied to dilute gases and to small momentum transfer interactions. The paper shows that the matrix formulation of the nonequilibrium equations can be extended to the Bogolubov gas. The asymptotic behavior is calculated for times long compared with the plasma frequency for: (1) the probability distribution functions, and (2) the Mayer correlation functions. The collision integrals that determine the higher order kinetic equations for the Bogolubov gas are thereby constructed. The calculations performed directly with the nonlinearly-coupled Mayer functions are shown to be equivalent to those performed with the linearly-coupled probability distribution functions. In lowest order the theory coincides with a result obtained previously by Bogolubov. (Author)