The bend in the correlation function - The surviving imprint of adiabatic perturbations?

Astronomy and Astrophysics – Astronomy

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Adiabatic Conditions, Cosmology, Galactic Clusters, Galactic Evolution, Neutrinos, Computerized Simulation, Correlation, Many Body Problem, Perturbation Theory, Sky Surveys (Astronomy), Two Dimensional Models

Scientific paper

Results are presented from numerical analysis of a two-dimensional simulation of the clustering of collisionless particles. The initial perturbation spectrum was cut off to simulate damping (as in the adiabatic theory of galaxy formation). The two-point correlation function was driven to a power law at small scales, and remained small at large scales during nonlinear 'pancaking'. There were small (approximately 0.1) imprints of large-scale power in the form of bumps in the covariance function. During nonlinear evolution, these bumps were found to cause a downward bend in the correlation function, as observed in sky surveys. If the primordial spectral index was 0 or 1, anticorrelation was found just outside this bend.

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