2016/06/27 by Massimo Giovannini
Physics and Astronomy · #Classical mechanics #Compressibility #Conservative vector field #Cosmology and Gravitation Theories #Covariant transformation #High-Energy Particle Collisions Research #Invariant (physics) #Magnetic diffusivity #Magnetic field #Magnetohydrodynamics #Mathematical physics #Mechanics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.94.081301
published as Phys. Rev. D 94, 081301 (2016) · 9 pages
arxiv created 2016/06/27 · openalex publication_date 2016/10/04 · arxiv updated 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The evolution equations of anomalous magnetohydrodynamics are derived in the extreme relativistic regime and contrasted with the treatment of hydromagnetic nonlinearities pioneered by Lichnerowicz in the absence of anomalous currents. In particular we explore the situation where the conventional vector currents are complemented by the axial-vector currents arising either from the pseudo-Nambu-Goldstone bosons of a spontaneously broken symmetry or because of finite fermionic density effects. After expanding the generally covariant equations in inverse powers of the conductivity, the relativistic analog of the magnetic diffusivity equation is derived in the presence of vortical and magnetic currents. While the anomalous contributions are generally suppressed by the diffusivity, they are shown to disappear in the perfectly conducting limit. When the flow is irrotational, boost invariant and with vanishing four-acceleration, the corresponding evolution equations are explicitly integrated so that the various physical regimes can be directly verified.