4.8 Article

Energy spectra stemming from interactions of Alfven waves and turbulent eddies

Journal

PHYSICAL REVIEW LETTERS
Volume 99, Issue 25, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.99.254502

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We present a numerical analysis of an incompressible decaying magnetohydrodynamic turbulence run on a grid of 1536(3) points. The Taylor Reynolds number at the maximum of dissipation is approximate to 1100, and the initial condition is a superposition of large-scale Arn'old-Beltrami-Childress flows and random noise at small scales, with no uniform magnetic field. The initial kinetic and magnetic energies are equal, with negligible correlation. The resulting energy spectrum is a combination of two components, each moderately resolved. Isotropy obtains in the large scales, with a spectral law compatible with the Iroshnikov-Kraichnan theory stemming from the weakening of nonlinear interactions due to Alfven waves; scaling of structure functions confirms the non-Kolmogorovian nature of the flow in this range. At small scales, weak turbulence emerges with a k(perpendicular to)(-2) spectrum, the perpendicular direction referring to the local quasiuniform magnetic field.

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