Collisionless mixing in 1-dimensional gravitational systems initially in a stationary waterbag configuration

Details Collisionless mixing in 1-dimensional gravitational systems initially in a stationary waterbag configuration Collisionless mixing in 1-dimensional gravitational systems initially in a stationary waterbag configuration

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...152..305l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 152, no. 2, Nov. 1985, p. 305-314.

Statistics

Computation

23

Celestial Bodies, Computational Astrophysics, Gravitation, Celestial Mechanics, Mixing, Particle Trajectories, Relaxation Time

Scientific paper

Numerical experiments on one-dimensional gravitational systems with initial conditions corresponding to a stationary waterbag configuration have revealed two interesting properties: (1) although the waterbag configuration is not stationary for particle systems, no noticeable evolution at all is observed in a one-mass system for times well in excess of the relaxation time as determined for counterstreaming initial states: this is thus an extreme case of a strong dependence of the system evolution on the initial conditions; and (2) while there is no noticeable macroscopic evolution, microscopically there exists a strong, quasi-stationary mixing process, driven by the fluctuations of the mean field; in a two-mass system, this process can give rise to a quite spectacular collisionless mixing of the two components. The time scale for mixing is intermediate between the violent and the collisional relaxation times, and collisionless mixing must be considered to constitute a distinct evolution phase in the general characterization of the time development of gravitational systems.

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