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Generalized hydrodynamics model for strongly coupled plasmas.

A Diaw1, M S Murillo1

  • 1New Mexico Consortium, Los Alamos, New Mexico 87544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 15, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a new generalized hydrodynamic model for plasmas, incorporating viscoelastic effects and Coulomb coupling. The model accurately describes ion-acoustic waves across various plasma types, validated by molecular dynamics simulations.

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Area of Science:

  • Plasma Physics
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • The Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy provides exact equations for many-body systems.
  • Accurate modeling of plasma dynamics requires incorporating Coulomb coupling and viscoelastic effects.
  • Existing models often lack self-consistency in equation-of-state properties.

Purpose of the Study:

  • To derive generalized hydrodynamic equations from the BBGKY hierarchy.
  • To develop a self-consistent model including density-functional theory closure and collisional relaxation.
  • To accurately describe ion-acoustic waves in various plasma systems.

Main Methods:

  • Derivation of density, momentum, and stress tensor-moment equations from the BBGKY hierarchy.
  • Closure of moment equations using density-functional theory and collisional relaxation.
  • Comparison with existing models (generalized hydrodynamics, STLS, QLA) and molecular dynamics simulations.

Main Results:

  • A generalized hydrodynamic model incorporating Coulomb coupling, viscous damping, and viscoelastic response.
  • Demonstration of the importance of viscoelasticity for ion-acoustic wave description.
  • Excellent agreement with molecular dynamics simulations for Yukawa plasmas.

Conclusions:

  • The developed generalized hydrodynamic model provides a self-consistent description of plasma properties.
  • The model accurately captures high-frequency elastic generalization and viscous wave damping.
  • The model is applicable to ultracold, dusty, and dense plasmas, with potential for extension to mixtures and quantum systems.