Accession Number : AD0654185

Title :   A NOTE ON THE SPECTRUM OF THE LINEARIZED BOLTZMANN EQUATION FOR THE HARD SPHERE CASE.

Descriptive Note : Technical rept.,

Corporate Author : OREGON UNIV EUGENE

Personal Author(s) : Yan,C. C. ; Wannier,G. H.

Report Date : 1967

Pagination or Media Count : 15

Abstract : The relaxation rates of the linearized Boltzmann equation for hard spheres are calculated for the first three angular indices by successive approximations, based on the Ritz variational principle. The first approximation shows a degeneracy between the angular indices l=0 and l=1; the value for l=2 lies in the continuum that is known to dominate the spectrum of hard sphere molecules. It is then shown that the degeneracy is an apparent one that arises from the low order of approximation employed. In second approximation, this degeneracy is removed; and the value for l=2 comes to be much closer to the edge of the continuum, although it does not get out of it. (Author)

Descriptors :   (*STATISTICAL MECHANICS, MATHEMATICAL ANALYSIS), MOLECULES, SPHERES, APPROXIMATION(MATHEMATICS), TRANSPORT PROPERTIES

Subject Categories : Physical Chemistry
      Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE