Statistics – Computation
Scientific paper
Apr 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.243..529m&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 243, April 15, 1990, p. 529-536.
Statistics
Computation
26
Gravitational Collapse, Stellar Oscillations, Stellar Systems, Vibration Mode, Computational Astrophysics, Landau Damping, Poisson Equation, Stellar Motions
Scientific paper
Small perturbations on finite Antonov stable equilibrium configurations of the one-dimensional collisionless gravitating system, and radial perturbations on spherically symmetric three-dimensional systems are considered. If the (time-dependent) gravitational field produced by the perturbation are ignored then 'differential motions' in phase space would lead to a phase-mixed equilibrium. It is demonstrated that when this self-consistent gravitational field is not taken into account, the dynamics change qualitatively - there can exist (real frequency) oscillation modes of the system which prevent the attainment of equilibrium by 'Landau damping'. It is further demonstrated that there exist one-dimensional and three-dimensional systems with one or more oscillation modes outside the continuum spectrum. This result may explain the long-lived oscillations observed in numerical simulations of radial motions in spherical stellar systems.
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