We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Large Index Asymptotics of Collision Integral Kernels of the Linear Boltzmann Equation in the Case of Hard-Sphere Potential.
- Authors
Bakaleinikov, L. A.; Tropp, E. A.; Flegontova, E. Yu.
- Abstract
We have identified the asymptotic behavior of the kernels with large indices of integral operators representing the coefficients of expansion in Legendre polynomials of the collision integral of the linear Boltzmann equation for hard-sphere potential. In the case of interacting particles with nonequal absolute values of velocities, the kernels exhibit exponential decay, where the base of the exponent contains the ratio of the lower to higher velocity. In the case of interacting particles with equal absolute values of velocities, the kernels decay according to the power law.
- Subjects
ASYMPTOTIC expansions; COLLISION integrals; KERNEL functions; BOLTZMANN'S equation; HARD-sphere models (Molecular dynamics); POTENTIAL theory (Physics)
- Publication
Technical Physics Letters, 2018, Vol 44, Issue 8, p719
- ISSN
1063-7850
- Publication type
Article
- DOI
10.1134/S1063785018080187