Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems

Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems

ABSTRACT We investigate the evolution of the phase–space distribution function around slightly perturbed stationary states and the process of violent relaxation in the context of the dissipationless collapse of an isolated spherical self-gravitating system. By means of the recently introduced symple...

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Veröffentlicht in:Monthly notices of the Royal Astronomical Society 2022-03, Vol.512 (2), p.3015-3029
Hauptverfasser: Barbieri, Luca, Di Cintio, Pierfrancesco, Giachetti, Guido, Simon-Petit, Alicia, Casetti, Lapo
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container_title Monthly notices of the Royal Astronomical Society
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creator Barbieri, Luca
Di Cintio, Pierfrancesco
Giachetti, Guido
Simon-Petit, Alicia
Casetti, Lapo
description ABSTRACT We investigate the evolution of the phase–space distribution function around slightly perturbed stationary states and the process of violent relaxation in the context of the dissipationless collapse of an isolated spherical self-gravitating system. By means of the recently introduced symplectic coarse graining technique, we obtain an effective evolution equation that allows us to compute the scaling of the frequencies around a stationary state, as well as the damping times of Fourier modes of the distribution function, with the magnitude of the Fourier k −vectors themselves. We compare our analytical results with N-body simulations.
doi_str_mv 10.1093/mnras/stac477
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title Symplectic coarse graining approach to the dynamics of spherical self-gravitating systems
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