Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids

Details Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids

2007-12-11

arxiv.org/abs/0712.1839v1

Astronomy and Astrophysics

Astrophysics

10 pages, 3 figures

Scientific paper

10.1063/1.2907164

Analytical expression for energy of eigen-modes in magnetohydrodynamic flows of ideal fluids is obtained. It is shown that the energy of unstable modes is zero, while the energy of stable oscillatory modes (waves) can assume both positive and negative values. Negative energy waves always correspond to non-symmetric eigen-modes -- modes that have a component of wave-vector along the equilibrium velocity. These results suggest that all non-symmetric instabilities in ideal MHD systems with flows are associated with coupling of positive and negative energy waves. As an example the energy of eigen-modes is calculated for incompressible conducting fluid rotating in axial magnetic field.

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