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Thermodynamic explanation of Landau damping by reduction to hydrodynamics

Michal Pavelka, Václav Klika and 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
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: 19 May 2023 15:21
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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