TITLE

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

AUTHOR(S)
Chakrabarti, Nikhil
PUB. DATE
June 2011
SOURCE
Physics of Plasmas;Jun2011, Vol. 18 Issue 6, p062903
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
62010247

 

Related Articles

  • Stability of compressible reduced magnetohydrodynamic equilibria-Analogy with magnetorotational instability. Morrison, P. J.; Tassi, E.; Tronko, N. // Physics of Plasmas;Apr2013, Vol. 20 Issue 4, p042109 

    Stability analyses for equilibria of the compressible reduced magnetohydrodynamics (CRMHD) model are carried out by means of the Energy-Casimir (EC) method. Stability results are compared with those obtained for ideal magnetohydrodynamics (MHD) from the classical δW criterion. An...

  • The interplay of nonlinearity and architecture in equilibrium cytoskeletal mechanics. Wang, Shenshen; Shen, Tongye; Wolynes, Peter G. // Journal of Chemical Physics;1/7/2011, Vol. 134 Issue 1, p014510 

    The interplay between cytoskeletal architecture and the nonlinearity of the interactions due to bucklable filaments plays a key role in modulating the cell's mechanical stability and affecting its structural rearrangements. We study a model of cytoskeletal structure treating it as an amorphous...

  • On the origin of the thermodynamic stability of lyotropic lamellar liquid crystals. Ruckenstein, Eli // Journal of Chemical Physics;10/22/1998, Vol. 109 Issue 16, p6995 

    Examines the origin of the thermodynamic stability of lyotropic lamellar liquid crystals. Composition of the liquid crystals; Role of free energy expression in the formulation of equations for liquid crystal and hydrocarbon dilutions; Effect of the undulation disorder on interactions between...

  • The lag between the Hamiltonian and the system configuration in free energy perturbation calculations. Pearlman, David A.; Kollman, Peter A. // Journal of Chemical Physics;12/15/1989, Vol. 91 Issue 12, p7831 

    The energetic response of two test systems to changes in the governing Hamiltonians (empirical potential energy functions) are examined. For these two systems—neon in water using periodic boundary conditions and partially solvated trypsin—a systematic lag is observed between...

  • Quadratic response of a chemical reaction to external oscillations. Astumian, R. Dean; Robertson, Baldwin; Li, Ru Sheng; Ross, John // Journal of Chemical Physics;5/1/1992, Vol. 96 Issue 9, p6536 

    We develop a second-order response theory to investigate the effects of external periodic perturbations on a chemical reaction at a stable steady state in an open reactor. We apply the theory to the quadratic Schlögl model, a single-variable nonlinear reaction. In the presence of oscillating...

  • Free energy and stability of macromolecules studied by the double scanning simulation procedure. Meirovitch, Hagai; Vásquez, M.; Scheraga, Harold A. // Journal of Chemical Physics;1/15/1990, Vol. 92 Issue 2, p1248 

    The double scanning method (DSM) is a computer simulation technique suggested recently by Meirovitch [J. Chem. Phys. 89, 2514 (1988)]. This method is a variant of the usual or ‘‘single’’ scanning method (SSM) of the same author, which was extended by us to polypeptides...

  • Linear stability of thermocapillary flow in partially confined half-zones. Shiratori, Suguru; Kuhlmann, Hendrik C.; Hibiya, Taketoshi // Physics of Fluids;Apr2007, Vol. 19 Issue 4, p044103 

    The thermocapillary flow in cylindrical half-zones is investigated numerically for low-Prandtl-number fluids. We consider a configuration in which part of the cylindrical surface is covered by a very thin rigid film and another part is uncovered, supporting thermocapillary stresses. The steady...

  • Generation of non-axisymmetric scrape-off layer perturbations for controlling tokamak edge plasma profiles and stability. Joseph, Ilon; Cohen, Ronald H.; Rognlien, Thomas D.; Ryutov, Dmitri D. // Physics of Plasmas;May2012, Vol. 19 Issue 5, p056124 

    A critical requirement for tokamak fusion reactors is the control of the divertor heat load, both the time-averaged value and the impulsive fluxes that accompany edge-localized modes. We propose driving toroidally varying currents through the scrape-off layer (SOL) plasma both to broaden the SOL...

  • Kerr-Taub-NUT General Frame, Energy, and Momentum in Teleparallel Equivalent of General Relativity. Nashed, Gamal G. L. // Advances in High Energy Physics;2012, p1 

    A new exact solution describing a general stationary and axisymmetric object of the gravitational field in the framework of teleparallel equivalent of general relativity (TEGR) is derived. The solution is characterized by three parameters "the gravitational mass M, the rotation a, and the NUT...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics