Negative Energy Modes and Gravitational Instability of Interpenetrating Fluids
Astrophysics
2013-03-06 v2
Abstract
We study the longitudinal instabilities of two interpenetrating fluids interacting only through gravity. When one of the constituents is of relatively low density, it is possible to have a band of unstable wave numbers well separated from those involved in the usual Jeans instability. If the initial streaming is large enough, and there is no linear instability, the indefinite sign of the free energy has the possible consequence of explosive interactions between positive and negative energy modes in the nonlinear regime. The effect of dissipation on the negative energy modes is also examined.
Keywords
Cite
@article{arxiv.astro-ph/9807310,
title = {Negative Energy Modes and Gravitational Instability of Interpenetrating Fluids},
author = {A. R. R. Casti and P. J. Morrison and E. A. Spiegel},
journal= {arXiv preprint arXiv:astro-ph/9807310},
year = {2013}
}
Comments
21 Latex pages, 4 postscript figures. To appear in Volume 867 of the Annals of the New York Academy of Sciences; typos and grammatical errors corrected