Accession Number : AD0701448

Title :   THE FINITE CORRELATION RANGE OF THE NONEQUILIBRIUM PAIR DISTRIBUTION FUNCTION.

Descriptive Note : Final scientific rept.,

Corporate Author : AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J

Personal Author(s) : Sandri,Guido

Report Date : JAN 1970

Pagination or Media Count : 103

Abstract : The main conceptual features of the work can be summarized as follows. The two-particle correlation function for systems which are not in thermodynamic equilibrium plays a central role in modern kinetic theory. The theoretical methods currently used to determine the correlation function essentially agree in leading order with Bogolubov's 'adiabatic' result. Bogolubov's theory yields a function with an infinite spatial range when the particle separation is parallel to the relative velocity. The paper shows, however, that a proper asymptotic treatment yields a nonadiabatic correlation function whose range is finite (of the order of the mean free path) even with the total neglect of three-body effects. This result demonstrates that the finite spatial range is due primarily to the statistical nature of the correlation function rather than due to three-body collisions. A method of expansion is then developed that yields a satisfactory lowest-order collision integral and correlation function, opening the possibility of calculating nonequilibrium phenomena beyond lowest order. (Author)

Descriptors :   (*KINETIC THEORY, STATISTICAL FUNCTIONS), STATISTICAL MECHANICS, THERMODYNAMICS, N-BODY PROBLEM, CORRELATION TECHNIQUES, INTERACTIONS, PERTURBATION THEORY, GASES, PLASMA MEDIUM, NUMERICAL ANALYSIS

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE