Nonlinear Terms of MHD Equations for Homogeneous Magnetized Shear Flow

Details Nonlinear Terms of MHD Equations for Homogeneous Magnetized Shear Flow Nonlinear Terms of MHD Equations for Homogeneous Magnetized Shear Flow

2011-03-25

arxiv.org/abs/1103.4999v1

Physics

Plasma Physics

13 pages, no figures; AIP Conference Proceedings 1356, Proceedings of the School and Workshop on Space Plasma Physics (1--12 S

Scientific paper

We have derived the full set of MHD equations for incompressible shear flow of a magnetized fluid and considered their solution in the wave-vector space. The linearized equations give the famous amplification of slow magnetosonic waves and describe the magnetorotational instability. The nonlinear terms in our analysis are responsible for the creation of turbulence and self-sustained spectral density of the MHD (Alfven and pseudo-Alfven) waves. Perspectives for numerical simulations of weak turbulence and calculation of the effective viscosity of accretion disks are shortly discussed in k-space.

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