Universal Behavior of Phase Correlations in Non-linear Gravitational Clustering

Details Universal Behavior of Phase Correlations in Non-linear Gravitational Clustering Universal Behavior of Phase Correlations in Non-linear Gravitational Clustering

2002-11-18

arxiv.org/abs/astro-ph/0211408v2

Astrophys.J. 589 (2003) L61-L64

Astronomy and Astrophysics

Astrophysics

4 pages. Originally submitted to PRL. After a 3.5 month refereeing delay, withdrawn and submitted to ApJL, where it is now in

Scientific paper

10.1086/376351

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, non-linear 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 which is well described by theoretical arguments.

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