Statistics – Applications
Scientific paper
Jun 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.208..609a&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 208, June 1, 1984, p. 609-621.
Statistics
Applications
9
Compressibility Effects, Magnetohydrodynamic Stability, Plasma Acceleration, Relativistic Plasmas, Space Plasmas, Taylor Instability, Adiabatic Flow, Nonrelativistic Mechanics, Perturbation Theory, Stellar Atmospheres, Viscosity, Wave Dispersion
Scientific paper
The linear dispersion relation for the Rayleigh-Taylor instability is derived for fluids under plausible astrophysical conditions, and asymptotic limits of this relation are presented both for extremely relativistic and nonrelativistic fluids to show the effects of relativity and compressibility on the growth of instabilities. Whereas earlier analyses have considered isothermal fluctuations, the more appropriate adiabatic case is considered here. The general astrophysical implications are discussed, but specific applications are left to later papers. In general, it is shown that compressibility stabilizes, and 'saturates' on large scales at large accelerations, but that it may be neglected for most applications. Plasmas with a relativistic equation of state are stabilized through the inertia of the pressure term. The importance of anomalous viscosity in determining mixing morphology is also discussed.
Allen Anthony J.
Hughes Philip A.
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