Numerical simulations of violent relaxation and formation of phase space holes in gravitational systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Computerized Simulation, Elliptical Galaxies, Galactic Evolution, Galactic Structure, Gravitational Effects, Euler Equations Of Motion, Many Body Problem, Numerical Integration, Particle In Cell Technique, Gravitation, Structure Of Galaxies, Evolution Of Galaxies, Haloes Of Galaxies

Scientific paper

The violent relaxation of a one-dimensional gravitational system is studied through the use of two different numerical codes: an Eulerian code, and an exact N-body code. The results of the numerical integration show that the distribution function does not tend towards the stationary solution of Lynden-Bell, and does not even reach any stationary distribution function of the energy alone. The use of an Eulerian code was crucial to show that the formation of extremely long lived holes in phase space prevents the system from reaching a stationary state.

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