For relativistic parallel collisionless shocks in pair plasmas, the strong-field density jump measured in the downstream frame tends to 2 + 1/γ_up rather than the MHD prediction of 4.
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Density jump as a function of the field for parallel relativistic collisionless shocks
For relativistic parallel collisionless shocks in pair plasmas, the strong-field density jump measured in the downstream frame tends to 2 + 1/γ_up rather than the MHD prediction of 4.