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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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Cite this document: Pavelka, M., Klika, V. & Grmela, M. (2018). Thermodynamic explanation of Landau damping by reduction to hydrodynamics. Entropy, 20(6). doi:10.3390/e20060457
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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

Open Access document in PolyPublie
Subjects: 1800 Génie chimique > 1800 Génie chimique
1800 Génie chimique > 1803 Thermodynamique
Department: Département de génie chimique
Research Center: Non applicable
Funders: Czech Science Foundation, CRSNG/NSERC, Charles University Research Program
Grant number: 17-15498Y, RGPAS462034, RGPIN06504, UNCE/SCI/023
Date Deposited: 09 Mar 2020 11:42
Last Modified: 10 Mar 2020 01:20
PolyPublie URL: https://publications.polymtl.ca/3571/
Document issued by the official publisher
Journal Title: Entropy (vol. 20, no. 6)
Publisher: MDPI
Official URL: https://doi.org/10.3390/e20060457

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