Particle Simulation of an Ultrarelativistic Two-Stream Instability

Physics

Scientific paper

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17

Electrostatic Waves And Oscillations, Particle-In-Cell Method, Cosmic Rays

Scientific paper

A two-stream instability in an unmagnetized plasma is examined by a particle-in-cell simulation. Each beam initially consists of cold electrons and protons that stream at a relative Lorentz factor 100. This is representative for plasma close to the external shocks of gamma-ray bursts. An electrostatic wave develops which saturates by trapping electrons. This wave collapses and the resulting electrostatic turbulence gives an electron momentum distribution that resembles a power law with a spectral break. Some electrons reach Lorentz factors over 1000.

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