par Severne, Georges
Référence Physica, 31, 6, page (877-907)
Publication Publié, 1965-06
Article révisé par les pairs
Résumé : The methods developed by Prigogine and coworkers are used to establish a rigorous statistical mechanical theory for non-uniform classical systems. The general equations of evolution for the singlet distribution and for the s-body correlation functions are derived, and for the former, an equivalent master equation is written. For large systems these equations are essentially exact; they are non-Markoffian in form and introduce a delocalization in space as well as a displacement in time. The corresponding long time kinetic forms are obtained. In a lowest order approximation, the asymptotic master equation is shown to reduce to the Boltzmann equation, and generalized kinetic equations can immediately be obtained. The resulting formulation of linear transport theory is briefly discussed. © 1957.