The spectrum of anomalous magnetohydrodynamics

Abstract

The equations of anomalous magnetohydrodynamics describe an Abelian plasma where conduction and chiral currents are simultaneously present and constrained by the second law of thermodynamics. At high frequencies the magnetic currents play the leading role and the spectrum is dominated by two-fluid effects. The system behaves instead as a single fluid in the low-frequency regime where the vortical currents induce potentially large hypermagnetic fields. After deriving the physical solutions of the generalized Appleton-Hartree equation, the corresponding dispersion relations are scrutinized and compared with the results valid for cold plasmas. Hypermagnetic knots and fluid vortices can be concurrently present at very low frequencies and suggest a qualitatively different dynamics of the hydromagnetic nonlinearities.

26 pages, no figures

References in corpus (9)

• The Chiral Magnetic Effect
• Fluid/gravity model for the chiral magnetic effect
• Baryon asymmetry from hypermagnetic helicity in dilaton hypercharge electromagnetism
• Electrical conductivity of the quark-gluon plasma and soft photon spectrum in heavy-ion collisions
• Chiral Alfvén Wave in Anomalous Hydrodynamics
• On chiral magnetic effect and holography
• Hypermagnetic Baryogenesis
• Maxwell-Chern-Simons Hydrodynamics for the Chiral Magnetic Effect
• Baryon number violation and a new electroweak interaction

Cited by in corpus (8)

• Evolution of the Baryon Asymmetry through the Electroweak Crossover in the Presence of a Helical Magnetic Field
• Anomalous magnetohydrodynamics in the extreme relativistic domain
• Inflationary magnetogenesis in the perturbative regime
• Contribution of the chiral vortical effect to the evolution of the hypermagnetic field and the matter-antimatter asymmetry in the early Universe
• The generation of matter-antimatter asymmetries and hypermagnetic fields by the chiral vortical effect of transient fluctuations
• The effects of non-helical component of hypermagnetic field on the evolution of the matter-antimatter asymmetry, vorticity, and hypermagnetic field
• Hypermagnetic knots and gravitational radiation at intermediate frequencies
• Thermal leptogenesis in the presence of helical hypermagnetic fields