Characterizing the non-linear growth of large-scale structure in the Universe

The local Universe displays a rich hierarchical pattern of galaxy clusters and superclusters. The early Universe, however, was almost smooth, with only slight 'ripples' seen in the cosmic microwave background radiation. Models of the evolution of structure link these observations through the effect of gravity, because the small initially overdense fluctuations attract additional mass as the Universe expands. During the early stages, the ripples evolve independently, like linear waves on the surface of deep water. As the structures grow in mass, they interact with other in non-linear ways, more like waves breaking in shallow water. We have recently shown how cosmic structure can be characterized by phase correlations associated with these non-linear interactions, but hitherto there was no way to use that information to reach quantitative insights into the growth of structures. Here we report a method of revealing phase information, and quantify how this relates to the formation of a filaments, sheets and clusters of galaxies by non-linear collapse. We use a new statistic based on information entropy to separate linear from non-linear effects and thereby are able to disentangle those aspects of galaxy clustering that arise from initial conditions (the ripples) from the subsequent dynamical evolution.Comment: Accepted for publication in Nature. For high-resolution Figure 3, please see http://www.nottingham.ac.uk/~ppzpc/phases/n0colorphase.html, For the animations and the idea of this paper please see http://www.nottingham.ac.uk/~ppzpc/phases/index.htm

A Critical Study of Daniel Defoe's Verse

I review the standard paradigm for understanding the formation and evolution of cosmic structure, based on the gravitational instability of dark matter, but many variations on this basic theme are viable. Despite the great progress that has undoubtedly been made, steps are difficult because of uncertainties in the cosmological parameters, in the modelling of relevant physical processes involved in galaxy formation, and perhaps most fundamentally in the relationship between galaxies and the underlying distribution of matter. For the foreseeable future, therefore, this field will be led by observational developments allowing model parameters to be tuned and, hopefully, particular scenarios falsified. In these lectures I focus on two ingredients in this class of models: (i) the role of galaxy bias in interpreting clustering data; and (ii) the statistical properties of the initial fluctuations. In the later case, I discuss some ideas as to how the standard assumption - that the primordial density fluctuations constitute a Gaussian random field - can be tested using measurements galaxy clustering and the cosmic microwave background.Comment: 30 pages, 2 figures. To appear in Proceedings of International School of Physics `D. Chalonge' "Phase Transitions in the Early Universe: Theory and Observations", Erice, December 2000, Eds. H.J.de Vega, I.Khalatnikov, N.Sanchez. Uses kluwer.cls; igh resolution Figure 1 courtesy of the Virgo Consortium can be found at http://www.mpa-garching.mpg.de/Virgo/virgopics.htm