On the cores of collisionless self-gravitating systems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Computerized Simulation, Energy Distribution, Many Body Problem, Phase-Space Integral, Gravitational Fields, Iterative Solution, Three Dimensional Models

Scientific paper

A hypothesis is tested that 'the core produced through N-body simulation of a collisionless self-gravitating system is the lowest energy state accessible from the given initial configuration under the constraint of incompressible redistribution of phase-space density'. Lowest energy states for Van Albada's uniform initial configurations are constructed and compared with simulation results. Although there are quantitatively large differences, some qualitative similarities exist in the one-particle energy distribution function and the density profile. This fact indicates that the hypothesis holds but rather incompletely for 3D cases, which makes a striking contrast to 1D cases where it seems to hold fairly well. It is also found that the theory of Wiechen et al. (1988), for predicting the final state of violent relaxation, is not useful, at least for the core parts of N-body simulations.

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