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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

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

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

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

  • 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

  • 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

Jimp

OECD FORD

Physical sciences

Year of implementation

2018