Influence of Expansion on Hierarchical Structure

Details Influence of Expansion on Hierarchical Structure Influence of Expansion on Hierarchical Structure

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..tsf.b3007m&link_type=abstract

American Physical Society, Texas Section Fall, October 23-25, 2003, Texas Tech Campus, Lubbock Texas, MEETING ID: TSF03, abstrac

Physics

Scientific paper

We study gravitational instability in a one dimensional model of a matter-dominated universe. Careful scaling in both space and time results in an autonomous set of coupled Poisson-Vlasov equations for the gravitational field and phase space density, as well as the N-body problem, in which the coefficients are independent of time. We obtain general properties of the evolution from the Vlasov-Poisson equations and use particle simulation to study the evolution of a wide class of initial conditions, finding direct evidence of hierarchical clustering. A multi-fractal analysis of both the phase space and density simulations reveals a bifractal geometry similar to that observed in the distribution of galaxies. We show that the model yields an estimate of the time of galaxy formation of the correct order.

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