par Klein, Georg ;Prigogine, Ilya
Référence Physica, 19, 1-12, page (74-88)
Publication Publié, 1953
Article révisé par les pairs
Résumé : The authors investigate the possibility of basing statistical mechanics of irreversible processes on the recurrence relations between the distribution functions of various orders (Yvon, Born-Green) and the superposition principle of Kirkwood. To this purpose, the case of a linear assembly, with interaction between nearest neighbours only, is studied in detail. It is shown that for this particular system the superposition principle is rigourously valid at equilibrium and that it may also be used for a large class of non-equilibrium states. In the first part of this paper, the equilibrium properties which are needed also for the study of the non-equilibrium have been investigated. As a result of the superposition principle, the recurrence relations are reduced here to a single equation for the distribution function of couples of neighbouring particles. The study of this equation for systems out of statistical equilibrium shows that besides the equilibrium solution, other stationary solutions exist. This fact is closely related, as shown in the second paper, to the failure of the attempt to describe dissipative processes, like thermal conduction, on the basis of recurrence relations and the superposition principle only, as it is the case in the theory of Born and Green. © 1953.