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Article Dans Une Revue Monthly Notices of the Royal Astronomical Society Année : 2002

Scaling up Tides in Numerical Models of Galaxy- and Halo-Formation

Résumé

The purpose of this article is to show that when dynamically cold, dissipationless self-gravitating systems collapse, their evolution is a strong function of the symmetry in the initial distribution. We explore with a set of pressure-less homogeneous fluids the time-evolution of ellipsoidal distributions and map the depth of potential achieved during relaxation as function of initial ellipsoid axis ratios. We then perform a series of $N$-body numerical simulations and contrast their evolution with the fluid solutions. We verify an analytic relation between collapse factor ${\\cal C}$ and particle number $N$ in spherical symmetry, such that ${\\cal C} \\propto N^{1/3}$. We sought a similar relation for axisymmetric configurations, and found an empirical scaling relation such that ${\\cal C} \\propto N^{1/6}$ in these cases. We then show that when mass distributions do not respect spherical- or axial-symmetry, the ensuing gravitational collapse deepens with increasing particle number $N$ but only slowly: 86% of triaxial configurations may collapse by a factor of no more than 40 as $N\\to\\infty$. For $N\\approx 10^5$ and larger, violent relaxation develops fully under the Lin-Mestel-Shu instability such that numerical $N$-body solutions now resolve the different initial morphologies adequately.
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hal-00009576 , version 1 (16-12-2020)

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C. M. Boily, E. Athanassoula, P. Kroupa. Scaling up Tides in Numerical Models of Galaxy- and Halo-Formation. Monthly Notices of the Royal Astronomical Society, 2002, 332 (4), pp.971-984. ⟨10.1046/j.1365-8711.2002.05372.x⟩. ⟨hal-00009576⟩
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