
Accession Number : AD0635570
Title : THEORY OF THE LINEAR FOKKERPLANCK COLLISION OPERATOR.
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID MECHANICS LAB
Personal Author(s) : Su, C. H.
Report Date : MAY 1966
Pagination or Media Count : 28
Abstract : The linearized FokkerPlanck Collision integral with coulomb interaction is expanded in terms of surface spherical harmonics. The radial part of the distribution function is shown to be governed by a set of decoupled differentialintegral equations. The differential operators are shown to be selfadjoint while the integral operators are symmetry and completely continuous. The spectrum of the eigenvalues contains, on top of discrete points, a continuous part ranging from zero to minus infinity. The discrete part of the spectrum is obtained by requiring that the corresponding eigenvectors have a definite asymptotic behavior at large velocity. A variation principle is constructed for the computation of the discrete spectrum. (Author)
Descriptors : (*OPERATORS(MATHEMATICS), THEORY), (*MOLECULAR BEAMS, POTENTIAL THEORY), INTEGRALS, DISTRIBUTION FUNCTIONS
Subject Categories : Statistics and Probability
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE