Incollection,

Statistical Physics for Cosmic Structures

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The recent observations of a dark matter complex (clumpy) distribution have provided a new element to the debate on the correlations and possible crossover to homogeneity of the visible matter. The strong clumpiness characterizing galaxy structures seems to be present in the overall mass distribution and its relation to the highly isotropic Cosmic Microwave Background Radiation (CMBR) represents a fundamental problem. In contemporary cosmological models the structures observed today at large scales in the distribution of galaxies are explained by the dynamical evolution of purely self-gravitating matter (dark matter) from an initial state with low amplitude density fluctuations. The extension of structures, the formation of power-law correlations characterizing the strongly clustered regime and the relation between dark and visible matter are the key problems both from an observational and theoretical point of view.\\ In this puzzle Statistical Physics plays an important role in various ways:\\ 1. The complete characterization of the correlations of visible and dark matter.\\ 2. The analysis of the very small anisotropies of the CMBR and their implications on the initial fluctuations which recall the super-homogeneous properties similar to plasmas and glasses.\\ 3. The dynamical processes and theories for the formation of complex structures from a very smooth initial distribution and in a relatively short time.\\ \\ In the next two years the complete SDSS project will provide with samples large enough to clarify correlation properties of galaxy structures on large scale adding new important information to this debate together with the new observations of dark matter.\\ I discuss the use of methods and concepts of modern statistical physics which allow one to study cosmic structures from a new and broader point of view, focusing on the observational determination of the extension of the power-law correlations in galaxy distributions and on the theoretical approaches to their formation in the framework of many-body gravitational dynamics.

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