Alfvenic fluctuations in a relativistic wind with a spiral magnetic field and random magnetic field structures in the Crab Nebula

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Crab Nebula, Interstellar Matter, Magnetic Field Configurations, Magnetohydrodynamic Waves, Relativistic Plasmas, Astronomical Models, Electron Distribution, Magnetohydrodynamics, Pulsars

Scientific paper

The primary origin of inhomogeneous magnetic field structures in the Crab Nebula is discussed. A theoretical model is developed for 2D propagation of Alfvenic perturbations within the equatorial plane of an axisymmetric relativistic MHD wind embedded with a spiral magnetic field caused by the rotation of a central source. Analytical solutions are obtained within the entire frequency range for asymptotic Alfvenic perturbations at a large radial distance. Since the non-WKB radial falloff of the magnetic field perturbation is sufficiently slow (slightly faster than about 1 exp -1), magnetic field fluctuations associated with a noisy central source will be brought up to the inner standing shock with significant strength and will be further mapped into the nebula via relativistic MHD shock conditions. This scenario is proposed for the primary origin of random and fluctuating magnetic field structures in the Crab Nebula.

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