On the Bogolubov asymptotic condition for non-uniform systems

In: Bulletin de la Classe des sciences, Band 50, Heft 1, S. 1009-1023

Abstract

Synopsis. — The Bogolubov boundary conditions for the weakening of initial state correlations are used to write explicitely the equation in an inhomogeneous system and in the two-body collisions approximation. The formalism employed is parallel to that develo-pped by Prigogine and co-workers, so that a comparison may be made with the equations derived by Prigogine and Severne. A complet identity of the results is established at least in the asymptotic limit (t →∞). Finally a different form of the boundary condition is proposed which permits the direct establishment of the identity of the two theories in a much more general form ; it is observed that, in addition, this boundary condition permits a treatment of Bogolubov's theory within the frame of the theory of Prigogine.