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Complexity in cosmic structures

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  • Sylos Labini, Francesco
  • Gabrielli, Andrea

Abstract

We discuss correlation properties of a general mass density field introducing a classification of structures based on their complexity. Standard cosmological models for primordial mass fluctuations are characterized by a sort of large-scale stochastic order, that we call super-homogeneity to highlight the fact that mass fluctuations increase as a function of scale in the slowest-possible way for any stochastic mass field. On the other hand, the galaxy spatial distribution show complex structures with a high degree of inhomogeneity and fractal-like spatial correlations up to some relevant cosmological scale. The theoretical problem of cosmological structure formation should then explain the growth of strongly correlated and non-linear structures from the very uniform field of density fluctuations given as standard initial condition.

Suggested Citation

  • Sylos Labini, Francesco & Gabrielli, Andrea, 2004. "Complexity in cosmic structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 44-49.
    • Handle: RePEc:eee:phsmap:v:338:y:2004:i:1:p:44-49
    DOI: 10.1016/j.physa.2004.02.022
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