Secondary instability of Jeans mode in a gravitating fluid with uniform rotation

Journal Article · Wed Jun 15 00:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3600212· OSTI ID:21546965

Chakrabarti, Nikhil ^[1]

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1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar Calcutta 700 064 (India)

An axisymmetric rotating gas in a gravitational field is examined for its stability to two dimensional disturbances with first azimuthal mode. It is shown that a quasi-equilibrium is established when pressure and Coriolis force act against primary Jeans instability. A linear perturbation on this inhomogeneous equilibrium gives rise to secondary instability, which grows differently from homogeneous case. A stationary phase integral method demonstrates that the instability grows algebraically due to the free energy associated with the axisymmetric equilibrium. This secondary Jeans instability may have some bearing with the structure formations in the universe.

• OSTI ID: 21546965
• Journal Information: Physics of Plasmas, Vol. 18, Issue 6; Other Information: DOI: 10.1063/1.3600212; (c) 2011 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASTROPHYSICS
AXIAL SYMMETRY
CORIOLIS FORCE
DISTURBANCES
EQUILIBRIUM
FLUIDS
FREE ENERGY
GRAVITATIONAL FIELDS
PLASMA INSTABILITY
ROTATION
STABILITY
TWO-DIMENSIONAL CALCULATIONS
ENERGY
INSTABILITY
MOTION
PHYSICAL PROPERTIES
PHYSICS
SYMMETRY
THERMODYNAMIC PROPERTIES