Hydrodynamic modes in a magnetized chiral plasma with vorticity

By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral...

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Bibliographic Details
Published in:Physical review. D 2019-01, Vol.99 (1), p.016017, Article 016017
Main Authors: Rybalka, D. O., Gorbar, E. V., Shovkovy, I. A.
Format: Article
Language:English
Subjects:
Boundary conditions
Computational fluid dynamics
Cylindrical plasmas
Density
Electrical resistivity
Electromagnetic fields
Electromagnetism
Fluid flow
High temperature
Hydrodynamic equations
Kinetic theory
Magnetohydrodynamics
Mathematical analysis
Maxwell's equations
Plasmons
Propagation modes
Rotating plasmas
Rotation
Sound propagation
Variation
Vorticity
Wave propagation
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Summary:By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral plasma confined to a cylindrical region with realistic boundary conditions. Then, by using linearized hydrodynamic equations, supplemented by the Maxwell equations, we study hydrodynamic modes of magnetized rotating chiral plasma in the regimes of high temperature and high density. We find that, in both regimes, dynamical electromagnetism has profound effects on the spectrum of propagating modes. In particular, there are only the sound and Alfvén waves in the regime of high temperature, and the plasmons and helicons at high density. We also show that the chiral magnetic wave is universally overdamped because of high electrical conductivity in plasma that causes an efficient screening of charge fluctuations. The physics implications of the main results are briefly discussed.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.99.016017