The Appearance of a Radio-Pulsar Magnetosphere from a Vacuum with a Strong Magnetic Field. Motion of Charged Particles
Ya. N. Istomin (LPI), D. N. Sob'yanin (MIPT)

TL;DR
This paper investigates the behavior of electrons and positrons in a neutron star's magnetosphere with strong magnetic fields, revealing rapid acceleration and oscillatory motion along force-free surfaces.
Contribution
It provides a detailed analysis of charged particle dynamics in a vacuum magnetosphere with ultra-strong magnetic fields, highlighting the particle acceleration and oscillation mechanisms.
Findings
Particles reach Lorentz factors of ~10^8 instantly.
Particles oscillate ultra-relativistically after crossing the force-free surface.
Particles drift along the force-free surface during oscillations.
Abstract
The motion of electrons and positrons in the vacuum magnetosphere of a neutron star with a surface magnetic field of B~10^12 G is considered. Particles created in the magnetosphere or falling into it from outside are virtually instantaneously accelerated to Lorentz factors gamma~10^8. After crossing the force-free surface, where the projection of the electric field onto the magnetic field vanishes, a particle begins to undergo ultra-relativistic oscillations. The particle experiences a regular drift along the force-free surface simultaneous with this oscillatory motion.
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