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Negative Energy Modes and Gravitational Instability of Interpenetrating Fluids
Author(s) -
CASTI A. R.R.,
MORRISON P. J.,
SPIEGEL E. A.
Publication year - 1998
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1998.tb11252.x
Subject(s) - instability , negative energy , explosive material , dissipation , wavenumber , physics , sign (mathematics) , richtmyer–meshkov instability , mechanics , nonlinear system , classical mechanics , energy (signal processing) , gravitational instability , thermodynamics , optics , quantum mechanics , chemistry , mathematics , mathematical analysis , organic chemistry
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 wavenumbers 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.