Generalized solutions of the Bogolyubov diffusion hierarchy in the thermodynamic limit. Cluster expansions

Nonstationary diffusion of charged particles interacting through the Yukawa potential is considered. For a finite time interval and for sufficiently high temperatures we prove convergence of the cluster expansions and the existence of nonequilibrium correlation functions in the limit $\Lambda\nearrow\mathbb R^3$. Exponential clustering of the correlation functions is also established.