A Consistent BGK Model with Velocity-Dependent Collision Frequency for Gas Mixtures

Please always quote using this URN: urn:nbn:de:bvb:20-opus-269146
  • We derive a multi-species BGK model with velocity-dependent collision frequency for a non-reactive, multi-component gas mixture. The model is derived by minimizing a weighted entropy under the constraint that the number of particles of each species, total momentum, and total energy are conserved. We prove that this minimization problem admits a unique solution for very general collision frequencies. Moreover, we prove that the model satisfies an H-Theorem and characterize the form of equilibrium.

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Author: J. Haack, C. Hauck, C. Klingenberg, M. Pirner, S. Warnecke
Document Type:Journal article
Faculties:Fakultät für Mathematik und Informatik / Institut für Mathematik
Parent Title (English):Journal of Statistical Physics
Year of Completion:2021
Source:Journal of Statistical Physics 2021, 184(3):31. DOI: 10.1007/s10955-021-02821-2
Pubmed Id:https://pubmed.ncbi.nlm.nih.gov/34720185
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Tag:BGK approximation; entropy minimization; kinetic model; multi-fluid mixture; plasma physics; velocity-dependent collision frequency
Release Date:2022/06/13
Licence (German):License LogoCC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International