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Wave Decay in Magnetohydrodynamic Turbulence Export

The Astrophysical Journal, Vol. 678, No. 2. (2008), pp. 961-967.

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cascade mhd plasma turbulence

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We present a model for nonlinear decay of the weak wave in three-dimensional incompressible magnetohydrodynamic (MHD) turbulence. We show that the decay rate is different for parallel and perpendicular waves. We provide a general formula for arbitrarily directed waves and discuss particular limiting cases known in the literature. We test our predictions with direct numerical simulations of wave decay in three-dimensional MHD turbulence, and discuss the influence of turbulent damping on the development of linear instabilities in the interstellar medium and on other important astrophysical processes.


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