Journal Article

Linear coupling of modes in two-dimensional radially stratified astrophysical discs

A. G. Tevzadze, G. D. Chagelishvili, G. Bodo and P. Rossi

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 401, issue 2, pages 901-912
Published in print January 2010 | ISSN: 0035-8711
Published online January 2010 | e-ISSN: 1365-2966 | DOI: https://dx.doi.org/10.1111/j.1365-2966.2009.15723.x
Linear coupling of modes in two-dimensional radially stratified astrophysical discs

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We investigate mode coupling in a two-dimensional compressible disc with radial stratification and differential rotation. We employ the global radial scaling of linear perturbations and study the linear modes in the local shearing-sheet approximation. We employ a three-mode formalism and study the vorticity (W), entropy (S) and compressional (P) modes and their coupling properties. The system exhibits asymmetric three-mode coupling: this includes mutual coupling of S and P modes, S and W modes, and asymmetric coupling between the W and P modes. P-mode perturbations are able to generate potential vorticity through indirect three-mode coupling. This process indicates that compressional perturbations can lead to the development of vortical structures and influence the dynamics of radially stratified hydrodynamic accretion and protoplanetary discs.

Keywords: accretion, accretion discs; hydrodynamics; instabilities

Journal Article.  6512 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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