Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog
Brilliantov NV, Pöschel T (2005)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2005
Journal
Publisher: American Institute of Physics (AIP)
Book Volume: 15
Article Number: 026108
Journal Issue: 2
DOI: 10.1063/1.1889266
Abstract
We study the diffusion of tracers (self-diffusion) in a homogeneously cooling gas of dissipative particles, using the Green-Kubo relation and the Chapman-Enskog approach. The dissipative particle collisions are described by the coefficient of restitution ε which for realistic material properties depends on the impact velocity. First, we consider self-diffusion using a constant coefficient of restitution, ε=const, as frequently used to simplify the analysis. Second, self-diffusion is studied for a simplified (stepwise) dependence of ε on the impact velocity. Finally, diffusion is considered for gases of realistic viscoelastic particles. We find that for ε=const both methods lead to the same result for the self-diffusion coefficient. For the case of impact-velocity dependent coefficients of restitution, the Green-Kubo method is, however, either restrictive or too complicated for practical application, therefore we compute the diffusion coefficient using the Chapman-Enskog method. We conclude that in application to granular gases, the Chapman-Enskog approach is preferable for deriving kinetic coefficients. © 2005 American Institute of Physics.
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Germany (DE)How to cite
APA:
Brilliantov, N.V., & Pöschel, T. (2005). Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog. Chaos, 15(2). https://dx.doi.org/10.1063/1.1889266
MLA:
Brilliantov, Nikolai V., and Thorsten Pöschel. "Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog." Chaos 15.2 (2005).
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