Cosmological N-body simulations with a tree code - Fluctuations in the linear and nonlinear regimes

Statistics – Computation

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Computational Astrophysics, Computerized Simulation, Cosmology, Many Body Problem, Computational Grids, Galactic Clusters, Power Spectra, Trees (Mathematics), Universe

Scientific paper

The evolution of gravitational systems is studied numerically in a cosmological context using a hierarchical tree algorithm with fully periodic boundary conditions. The simulations employ 262,144 particles, which are initially distributed according to scale-free power spectra. The subsequent evolution is followed in both flat and open universes. With this large number of particles, the discretized system can accurately model the linear phase. It is shown that the dynamics in the nonlinear regime depends on both the spectral index n and the density parameter Omega. In Omega = 1 universes, the evolution of the two-point correlation function Xi agrees well with similarity solutions for Xi greater than about 100 but its slope is steeper in open models with the same n.

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