Self-similar infall models for cold dark matter haloes

Details Self-similar infall models for cold dark matter haloes Self-similar infall models for cold dark matter haloes

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phdt.........7l&link_type=abstract

Thesis (PhD). QUEEN'S UNIVERSITY AT KINGSTON (CANADA), Source DAI-B 62/10, p. 4588, Apr 2002, 253 pages.

Physics

1

Scientific paper

How can we understand the mechanisms for relaxation and the constitution of the density profile in CDM halo formation? Can the old Self-Similar Infall Model (SSIM) be made to contain all the elements essential for this understanding? In this work, we have explored and improved the SSIM, showing it can at once explain large N-body simulations and indirect observations of real haloes alike. With the use of a carefully-crafted simple shell code, we have followed the accretion of secondary infalls in different settings, ranging from a model for mergers to a distribution of angular momentum for the shells, through the modeling of a central black hole. We did not assume self-similar accretion from initial conditions but allowed for it to develop and used coordinates that make it evident. We found self-similar accretion to appear very prominently in CDM halo formation as an intermediate stable (quasi-equilibrium) stage of Large Scale Structure formation. Dark Matter haloes density profiles are shown to be primarily influenced by non-radial motion. The merger paradigm reveals itself through the SSIM to be a secondary but non-trivial factor in those density profiles: it drives the halo profile towards a unique attractor, but the main factor for universality is still the self-similarity. The innermost density cusp flattening observed in some dwarf and Low Surface Brightness galaxies finds a natural and simple explanation in the SSIM embedding a central black hole. Relaxation in cold collisionless collapse is clarified by the SSIM. It is a continuous process involving only the newly-accreted particles for just a few dynamical times. All memory of initial energy is not lost so relaxation is only moderately violent. A sharp cut off, or population inversion, originates in initial conditions and is maintained through relaxation. It characterises moderately violent relaxation in the system's Distribution Function. Finally, the SSIM has shown this relaxation to arise from phase space instability once the halo has been stirred enough through phase mixing. Extensions of these explorations are possible and expected to refine our understanding of the formation of dark halo density profiles. A link should be sought, for instance, between the present results on relaxation and the entropy of the system.

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