Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids
Astrophysics
2012-11-09 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0712.1839,
title = {Energy of eigen-modes in magnetohydrodynamic flows of ideal fluids},
author = {I. V. Khalzov and A. I. Smolyakov and V. I. Ilgisonis},
journal= {arXiv preprint arXiv:0712.1839},
year = {2012}
}
Comments
10 pages, 3 figures