Non-linear coupling of spiral modes in disc galaxies

Details Non-linear coupling of spiral modes in disc galaxies Non-linear coupling of spiral modes in disc galaxies

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232..733s&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, June 15, 1988, p. 733-752.

Statistics

Computation

45

Computational Astrophysics, Disk Galaxies, Galactic Rotation, Spiral Galaxies, Barred Galaxies, Coupled Modes, Galactic Evolution, Galactic Structure, Wentzel-Kramer-Brillouin Method

Scientific paper

Nonlinear mechanisms in their gaseous or stellar component should govern the long-term behavior of spiral galaxies. The nonlinear coupling of spiral or bar modes of different patterns speeds in an inhomogeneous stellar disk is derived. Using classical WKBJ and epicyclic approximations for density waves, the nonlinear perturbed densities and the corresponding, nonlinearly modified, growth rate are computed. The presence of resonances in the region where modes overlap enhances this coupling, making it quite efficient at reasonably low amplitudes. Furthermore, this mechanism provides a new way of closing the SWING or WASER amplification cycles for the coupled modes. This explains the results of recently published numerical simulations. Suggestions are then given for possible comparisons with certain observed barred spiral galaxies.

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