Lorentz invariant "potential magnetic field" and magnetic flux conservation in an ideal relativistic plasma
arXiv:1808.03458 · doi:10.1017/S0022377818000910
Abstract
Lorentz invariant scalar functions of the magnetic field are defined in an ideal relativistic plasma. These invariants are advected by the plasma fluid motion and play the role of the {\it potential magnetic field} introduced by R. Hide in Ann. Geophys. 1, 59 (1983) on the line of Ertel's theorem. From these invariants we recover the Cauchy conditions for the magnetic field components in the Eulerian-Lagrangian variable mapping. In addition the adopted procedure allows us to formulate Alfvèn theorem for the conservation of the magnetic flux through a surface comoving with the plasma in a Lorentz invariant form.
References in corpus (6)
- Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
- Generalized Magnetofluid Connections in Relativistic Magnetohydrodynamics
- Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
- Generalized Magnetofluid Connections in Pair Plasmas
- Covariant Magnetic Connection Hypersurfaces
- Relativistic MHD modeling of magnetized neutron stars, pulsar winds, and their nebulae