Abstract
The large-scale structure of the universe is thought to evolve by a process of gravitational amplification from low-amplitude Gaussian noise generated in the early universe. The later nonlinear stages of gravitation-induced clustering produce phase correlations with well-defined statistical properties. In particular, the distribution of phase differences D between neighboring Fourier modes provides useful insights into the clustering phenomenon. Here we develop an approximate theory for the probability distribution D and test it using a large battery of numerical simulations. We find a remarkable universal form for the distribution that is well described by theoretical arguments.
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