In a 10,080^3 simulation of compressible magnetized turbulence, the velocity-magnetic alignment angle scales as λ^{1/8} instead of the theoretical λ^{1/4}, while velocity-vorticity alignment scales as λ^{1/16}.
Universal turbulent relaxation of fluids and plasmas by the principle of vanishing nonlinear transfers
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abstract
A seventy year old problem of fluid and plasma relaxation has been revisited. A new principle of vanishing nonlinear transfer has been proposed to develop a unified theory of turbulent relaxation of neutral fluids and plasmas. Unlike previous studies, the new principle enables us to find the relaxed states unambiguously without going through any variational principle. The general relaxed states obtained herein are found to support naturally a pressure gradient which is consistent with several numerical studies. Relaxed states are reduced to Beltrami type aligned states where the pressure gradient is negligibly small.
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Local relaxation and scale-dependent alignment in compressible, magnetized turbulence
In a 10,080^3 simulation of compressible magnetized turbulence, the velocity-magnetic alignment angle scales as λ^{1/8} instead of the theoretical λ^{1/4}, while velocity-vorticity alignment scales as λ^{1/16}.