Perturbative treatment of the cosmological N-body problem

Details Perturbative treatment of the cosmological N-body problem Perturbative treatment of the cosmological N-body problem

Nov 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..861..961m&link_type=abstract

ALBERT EINSTEIN CENTURY INTERNATIONAL CONFERENCE. AIP Conference Proceedings, Volume 861, pp. 961-968 (2006).

Mathematics

Logic

Mathematical And Relativistic Aspects Of Cosmology, Self-Gravitating Systems, Continuous Media And Classical Fields In Curved Spacetime

Scientific paper

We present a perturbative treatment which gives an approximation describing the evolution under self-gravity of a lattice perturbed from its equilibrium, using an analogy with the Coulomb lattice studied in solid state physics. It allows one to trace the evolution of the fully discrete distribution until the time when particles approach one another (``shell-crossing''). Perturbed lattices are typical initial conditions for cosmological N-body simulations and thus we can describe precisely the early time evolution of these simulations. A quantitative comparison with fluid Lagrangian theory permits to study discreteness effects in the linear regime of the simulations.

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