The Glass-like Universe: Real-space correlation properties of standard cosmological models
| dc.creator | Gabrielli, Andrea | |
| dc.creator | Joyce, Michael | |
| dc.creator | Labini, Francesco Sylos | |
| dc.date | 2001-10-19 | |
| dc.date | 2002-01-28 | |
| dc.date.accessioned | 2026-07-07T11:45:59Z | |
| dc.date.available | 2026-07-07T11:45:59Z | |
| dc.description | After reviewing the basic relevant properties of stationary stochastic processes (SSP), defining basic terms and quantities, we discuss the properties of the so-called Harrison-Zeldovich like spectra. These correlations, usually characterized exclusively in k-space (i.e. in terms of power spectra P(k)), are a fundamental feature of all current standard cosmological models. Examining them in real space we note their characteristics to be a {\it negative} power law tail ξ(r) \sim - r^{-4} and a {\it sub-poissonian} normalised variance in spheres σ^2(R) \sim R^{-4} \ln R. We note in particular that this latter behaviour is at the limit of the most rapid decay (\sim R^{-4}) of this quantity possible for any stochastic distribution (continuous or discrete). This very particular characteristic is usually obscured in cosmology by the use of Gaussian spheres. In a simple classification of all SSP into three categories, we highlight with the name ``super-homogeneous'' the properties of the class to which models like this, with P(0)=0, belong. In statistical physics language they are well described as glass-like. They do not have either ``scale-invariant'' features, in the sense of critical phenomena, nor fractal properties. We illustrate their properties with some simple examples, in particular that of a ``shuffled'' lattice. | |
| dc.description | 20 pages, 3 postscript figures, corrected some typos and minor changes to match the accepted version in Physical Review D | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0110451 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0110451 | |
| dc.identifier | Phys.Rev.D65:083523,2002 | |
| dc.identifier | doi:10.1103/PhysRevD.65.083523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202070 | |
| dc.subject | Astrophysics | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The Glass-like Universe: Real-space correlation properties of standard cosmological models | |
| dc.type | text |