Discrete oscillation modes and damped stationary density waves in one-dimensional collisionless systems

Statistics – Computation

Scientific paper

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Celestial Mechanics, Computational Astrophysics, Density Distribution, Plasma Oscillations, Stellar Physics, Stellar Systems, Adiabatic Conditions, Astronomical Models, Many Body Problem, Perturbation Theory, Power Spectra, Vlasov Equations

Scientific paper

Small perturbations of equilibrium configurations of 1D collisionless self-gravitating systems are considered. An approximate method based on a truncated set of moment equations for following the time evolution of the perturbations is described. In general, the predicted frequencies and the form of low-order oscillation modes agree remarkably well with the results of N-body simulations. The important role of the frequency of oscillation modes with regard to the finite band of particle frequencies and their harmonics is discussed, and the question of gaps between continuum segments is reinvestigated. It is concluded that stationary density waves may have very long lifetimes, even if their frequency lies within the continuum.

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