Coupling of modes of cosmological mass density fluctuations

Abstract

Cosmological mass density fluctuations are described by their connected correlation functions. Assuming an Omega = 1 universe with Gaussian primordial fluctuations that have a Zeldovich power spectrum, the authors discuss the form of the connected correlations induced by nonlinearities in the time evolution. Assuming cold dark matter the authors compute the first five moments of the probability distribution for the mass density fluctuations averaged over a Gaussian ball.