Acceleration of electrons at a curved shock

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Adiabatic Equations, Electron Acceleration, Equations Of Motion, Mathematical Models, Shock Waves, Electric Fields, Electron Emission, Electron Energy, Energy Transfer

Scientific paper

The paper deals with the acceleration of electrons at a nearly perpendicular curved shock wave and results are compared with the case of a plane shock wave. We formulate the equations of motion of an electron in adiabatic approximation and solve them in a special case. The results show that the energy gain of reflected electrons at a curved shock depends on the ratio of the radius of curvature to the shock thickness; for a low ratio the energy gain is significantly lower than at a plane shock, while the energy gain of transmitted electrons is approximately the same as at a plane shock. The analytical solution provides a tool for direct calculations of fluxes of accelerated electrons near the curved shock of given parameters.

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