Shakhov-type extension of the relaxation time approximation in relativistic kinetic theory and second-order fluid dynamics
- We present a relativistic Shakhov-type generalization of the Anderson-Witting relaxation time model for the Boltzmann collision integral to modify the ratio of momentum diffusivity to thermal diffusivity. This is achieved by modifying the path on which the single particle distribution function fk approaches local equilibrium f0k by constructing an intermediate Shakhov-type distribution fSk similar to the 14-moment approximation of Israel and Stewart. We illustrate the effectiveness of this model in case of the Bjorken expansion of an ideal gas of massive particles and the damping of longitudinal waves through an ultrarelativistic ideal gas.
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| Author: | Victor E. AmbruşORCiD, Etele MolnárORCiD |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-857836 |
| DOI: | https://doi.org/10.1016/j.physletb.2024.138795 |
| ISSN: | 0370-2693 |
| Parent Title (English): | Physics Letters B |
| Publisher: | Elsevier |
| Place of publication: | Amsterdam |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2024/06/12 |
| Date of first Publication: | 2024/06/12 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2024/06/13 |
| Tag: | Bjorken flow; Relativistic kinetic theory; Relaxation time approximation; Shakhov model |
| Volume: | 2024 |
| Issue: | 138795, In Press, Journal Pre-proof |
| Article Number: | 138795 |
| Page Number: | 9 |
| Institutes: | Physik / Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
