Generation of an observable turbulence spectrum and solitary dipole vortices in rotating gravitating systems.

Details Generation of an observable turbulence spectrum and solitary dipole vortices in rotating gravitating systems. Generation of an observable turbulence spectrum and solitary dipole vortices in rotating gravitating systems.

Jan 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jetp...72....1d&link_type=abstract

Sov. Phys. - JETP, Vol. 72, No. 1, p. 1 - 10

Physics

9

Plasma Diagnostics: Galaxies, Plasma Diagnostics: Galaxy Pairs, Plasma Diagnostics: Binaries, Plasma Diagnostics: Gaseous Spheres, Gas Dynamics: Galaxy Pairs, Gas Dynamics: Binaries, Gas Dynamics: Galactic Nuclei

Scientific paper

A nonlinear equation has been obtained, describing the dynamics of disturbances of small, but nonvanishing amplitude of a rigidly rotating gaseous system of nonuniform density. Both in the case of short-wave disturbances (λ much smaller than the Jeans wavelength λJ, i.e., λ ≪ λJ) and in the opposite limiting case of long-wavelength disturbances λ ≫ λJ the equation reduces to the well-known nonlinear equation for Rossby waves with a vector nonlinearity i.e., the Charney-Obukhov (or Hasegawa-Mima) equation. The weak turbulence spectrum of this equation leads to known observable relations among the fundamental parameters of the gas population of our Galaxy, in particular to the star mass spectrum discovered by Saltpeter in 1955. The stationary solution of this equation, due to Larichev-Reznik is obtained in the form of a solitary vortex (the modon) with a circular separatrix. The equation of two-dimensional gravidynamics derived here for the cases λ ≫ λJ and λ ≪ λJ is analogous to the nonlinear equation which describes the dynamics of an incompressible fluid in the β plane with a rigid lid. This nontrivial effect of the β plane is a consequence of a recently established analogy between the nonlinear equations for Rossby waves on the β plane with a rigid lid, and those in the f-plane with a free surface. The conclusion discusses possible observable manifestations of modons: double galaxies, double galactic nuclei, and double stars.

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