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- Title
Asymptotics of Collision Integral Matrix Elements in the Isotropic Case.
- Authors
Tropp, É.A.; Bakale&ibreve;nikov, L.A.; Énder, A.Ya.; Énder, I.A.
- Abstract
The method of nonlinear moments, when used to solve the Boltzmann equation, necessitates the calculation of collision integral matrix elements. The matrix elements are hard to calculate numerically, especially at large indices. The asymptotics of the matrix elements are constructed. In terms of the model of pseudopower particle interaction, a formula free of summation is derived. This makes it possible to find the asymptotic behavior of linear and nonlinear elements when two indices are large. For an arbitrary interaction cross section, asymptotic expansions of linear and nonlinear matrix elements in one index are obtained. For Maxwellian molecules, asymptotic formulas are derived for three large indices. © 2003 MAIK “Nauka / Interperiodica”.
- Subjects
COLLISIONS (Physics); NONLINEAR theories; EQUATIONS; MATRICES (Mathematics)
- Publication
Technical Physics, 2003, Vol 48, Issue 9, p1090
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/1.1611892