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Analytical and numerical investigations of relativistic particle acceleration in a current layer

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We investigate the motion of a charged particle in the process of acceleration up to relativistic energies in a superhot turbulent current layer with three components of the magnetic field. We solve analytically the relativistic equation of motion that has been averaged over the particle gyration in the magnetic field. The obtained results are compared with numerical solution of the ordinary (without averaging) equation of motion. The analytical solution describes a stable motion, i.e. when a particle remains in the reconnecting current layer until it reaches its edges. The stability conditions are found imposed on the electric and magnetic fields in the layer. Particles with positive and negative charges have different behaviours. The numerical solution has confirmed the conclusions of the analytical approach. Applications to solar flares are discussed.

Keywords: Acceleration of particles; Solar flares; Solar magnetic fields

Document Type: Research Article


Affiliations: Sternberg Astronomical Institute, Moscow State University, Universtetskii Prospekt 13, Moscow, 119992, Russia

Publication date: 2006-08-01

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