Simulated 2D vs. 3D Shock Waves: Implications for Particle Acceleration

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Shock Waves, Acceleration, Astrophysical Plasma, Magnetohydrodynamics And Plasmas, Particle Orbits

Scientific paper

We have given a rigorous derivation of a theorem showing that charged particles in an arbitrary electromagnetic field with at least one ignorable spatial coordinate remain forever tied to a given magnetic-field line. Such a situation contrasts the significant motions normal to the magnetic field that are expected in most real three-dimensional systems. While the significance of the theorem was not widely appreciated until recently, it has important consequences for a number of problems and is of particular relevance for the acceleration of cosmic rays by shocks.

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