Motion of relativistic charges in an increasing magnetic field

Statistics – Computation

Scientific paper

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Charged Particles, Magnetic Flux, Magnetic Mirrors, Particle Motion, Relativistic Particles, Synchrotron Radiation, Computational Astrophysics, Equations Of Motion, Landau Factor, Pulsar Magnetospheres

Scientific paper

The motion of a charged relativistic particle moving along a magnetic field of increasing strength is investigated theoretically, with a focus on the competition between the synchrotron-radiation and magnetic-mirroring mechanisms. The equations of motion are derived and simplified by assuming a power-law dependence of magnetic-field strength on distance, and a mirror/radiation ratio is defined. This ratio determines which of two final fates awaits the particle - bouncing by the mirror or indefinite finite-velocity propagation while gyrating at the lowest Landau level. The phase-space boundaries of these regimes are explored, and the implications of the results for radio-pulsar, accreting X-ray-pulsar, and planetary magnetospheres are discussed.

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