Particle Acceleration by the Relativistic Shocks in Electron, Positron, and Proton Plasma

Physics

Scientific paper

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7599 General Or Miscellaneous, 7839 Nonlinear Phenomena, 7851 Shock Waves

Scientific paper

An analytical solution for the structure of the nonlinear magnetosonic solitary wave, propagating across magnetic field, in electron-positron plasma has been constructed. The contribution of protons to the plasma results in the formation of the electric field at the wave front due to charge separation. In that case ions are trapped at the wave front between front electrostatic potential and the upstream Lorenz force, and are accelerated by the convective electric field of plasma flow ( shock surfing acceleration). In the non-relativistic case acceleration along the wave front is accompanied with the increase in the normal component of the velocity, which enables the ions to overcome potential barrier at the front, and to escape from acceleration. We consider the case when ions are accelerated to the relativistic velocities. In the relativistic case ions are likely to be trapped in acceleration for infinitely long, because their velocity normal to the front tend to decrease with increasing energy. Equations of motion for the relativistic particle at the wave front are integrated numerically to compare numerical results with analytical estimations, and to follow transition from the non-relativistic to relativistic case.

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