Thermodynamic Explanation of Landau Damping by Reduction to Hydrodynamics
Result description
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.
Keywords
Ehrenfest reductionnon-equilibrium thermodynamicsentropyLandau damping
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/68407700:21340/18:00322430
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Thermodynamic Explanation of Landau Damping by Reduction to Hydrodynamics
Original language description
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.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Entropy
ISSN
1099-4300
e-ISSN
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Volume of the periodical
20
Issue of the periodical within the volume
6
Country of publishing house
CH - SWITZERLAND
Number of pages
21
Pages from-to
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UT code for WoS article
000436275400066
EID of the result in the Scopus database
2-s2.0-85048705266
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Physical sciences
Year of implementation
2018