The accleration of charged particles near zero points of magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Charged Particles, Electric Fields, Magnetic Fields, Magnetohydrodynamic Stability, Particle Acceleration, Energy Spectra, Equations Of Motion, Planetary Magnetospheres, Solar Flares, Stellar Systems

Scientific paper

The typical features of charged particle motion in spatially uniform magnetic fields near zero points in a uniform electric field are analyzed. The trajectories of particles in a nonadiabatic region where the particles are not magnetized are found. The main effect in this case is the regular acceleration in the electric field. The magnetic field is relatively weak, but it causes instability in the particle motion and the escape of the particle into the drift region. In this region, the condition for trapping or detrapping particles near the zero point of the magnetic field is obtained. The energy spectra of charged particles are found on the basis of particle flux conservation in phase space. The forms of the energy spectra are either exponential or power-law, depending on the relative orientation of the electric and magnetic fields. The applications to the theory of relativistic particle production in solar flares are discussed. It is shown that about 10,000 regions of acceleration are needed to account for the production of between 10 to the 31st and 10 to the 32nd particles in solar flares.

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