Dynamic alignment signals in magnetohydrodynamic turbulence arise from amplitude-dependent retention of states rather than progressive alignment of typical Elsasser increments.
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MHD-PIC simulations find that the non-thermal particle spectral index alpha steepens as alpha proportional to beta to the power 0.5 in the relativistic regime, due to inertial mass density acting as an energy sink that reduces Alfven velocity.
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Dynamic Alignment as a Statistical Survival Effect
Dynamic alignment signals in magnetohydrodynamic turbulence arise from amplitude-dependent retention of states rather than progressive alignment of typical Elsasser increments.