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Entropy, Vol. 20, Pages 457: Thermodynamic Explanation of Landau Damping by Reduction to Hydrodynamics

Entropy, Vol. 20, Pages 457: Thermodynamic Explanation of Landau Damping by Reduction to Hydrodynamics

Entropy doi: 10.3390/e20060457

Authors: Michal Pavelka Václav Klika Miroslav Grmela

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.

Authors:   Pavelka, Michal ; Klika, Václav ; Grmela, Miroslav
Journal:   Entropy
Volume:   20
edition:   6
Year:   2018
Pages:   457
DOI:   10.3390/e20060457
Publication date:   12-Jun-2018
Facts, background information, dossiers
  • entropy
  • evolution
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