Power-law electron and ion distributions in a strong magnetic field

Physics

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Electron Distribution, Ion Distribution, Pulsars, Stellar Magnetic Fields, Convergence, Coulomb Collisions, Earth Magnetosphere, Kinetic Equations, Particle Interactions, Radiation Sources

Scientific paper

The possibility of establishing local steady-state power-law distributions with constant particle and energy fluxes in systems consisting of two types of interacting particle (i.e., ions and magnetized electrons) is considered. The kinetic equations for such a system in a spatially homogeneous medium are solved, and convergence of the electron-ion collision integral is examined. A local distribution whereby electron density is equal to the 3/2 power of electron momentum is obtained for magnetized electrons interacting with ions. It is concluded that in strong magnetic fields, e.g., near the surfaces of pulsars, Coulomb collisions may lead to the establishment of coupled power-law electron and ion distributions which will emit electromagnetic radiation.

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