Two new proofs of the test particle superposition principle of plasma kinetic theory
Abstract
The test particle superposition principle of plasma kinetic theory is discussed in relation to the recent theory of twotime fluctuations in plasma given by Williams and Oberman. Both a new deductive and a new inductive proof of the principle are presented. The fundamental observation is that twotime expectations of onebody operators are determined completely in terms of the (x,v) phase space density autocorrelation, which to lowest order in the discreteness parameter obeys the linearized Vlasov equation with singular initial condition. For the deductive proof, this equation is solved formally using timeordered operators, and the solution then rearranged into the superposition principle. The inductive proof is simpler than Rostoker's, although similar in some ways; it differs in that first order equations for pair correlation functions need not be invoked. It is pointed out that the superposition principle is also applicable to the shorttime theory of neutral fluids.
 Publication:

Unknown
 Pub Date:
 December 1975
 Bibcode:
 1975tnpt.rept.....K
 Keywords:

 Kinetic Theory;
 Superposition (Mathematics);
 Autocorrelation;
 Operators (Mathematics);
 Plasma Physics;
 Vlasov Equations;
 Plasma Physics