CONSTRAINTS FOR THE CONSTRUCTION OF KINETIC THEORIES

In the absence of a small parameter for systematic many-body analysis (e.g., strongly coupled systems), the construction of an appropriate k inetic theory description necessarily has an uncontrolled, phenomenolo gical component. In this context it is useful to identify selective ex act properties of the underlying microscopic description to serve as c onstraints for guidance in the construction of an approximate kinetic theory. We consider here three such properties: 1) exact local conserv ation laws; 2) exact stationary solutions; 3) exact relationship of on e- and two- particle reduced density operators. The corresponding cond itions on the kinetic description are identified, and a simple ''mean field'' approximation is indicated as an example.