Michal Pavelka, Václav Klika, Miroslav Grmela
Article (2018)
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Abstract
Landau damping is the tendency of solutions to the Vlasov equation towards spatially homogeneous distribution functions. The distribution functions, however, approach the spatially homogeneous manifold only weakly, and Boltzmann entropy is not changed by the Vlasov equation. On the other hand, density and kinetic energy density, which are integrals of the distribution function, approach spatially homogeneous states strongly, which is accompanied by growth of the hydrodynamic entropy. Such a behavior can be seen when the Vlasov equation is reduced to the evolution equations for density and kinetic energy density by means of the Ehrenfest reduction.
Uncontrolled Keywords
Landau damping; entropy; non-equilibrium thermodynamics; Ehrenfest reduction
| Subjects: |
1800 Chemical engineering > 1800 Chemical engineering 1800 Chemical engineering > 1803 Thermodynamics |
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| Department: | Department of Chemical Engineering |
| Funders: | Czech Science Foundation, CRSNG/NSERC, Charles University Research Program |
| Grant number: | 17-15498Y, RGPAS462034, RGPIN06504, UNCE/SCI/023 |
| PolyPublie URL: | https://publications.polymtl.ca/3571/ |
| Journal Title: | Entropy (vol. 20, no. 6) |
| Publisher: | MDPI |
| DOI: | 10.3390/e20060457 |
| Official URL: | https://doi.org/10.3390/e20060457 |
| Date Deposited: | 09 Mar 2020 11:42 |
| Last Modified: | 11 Nov 2022 13:41 |
| Cite in APA 7: | Pavelka, M., Klika, V., & Grmela, M. (2018). Thermodynamic explanation of Landau damping by reduction to hydrodynamics. Entropy, 20(6). https://doi.org/10.3390/e20060457 |
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