PMID: 11328138May 1, 2001Paper

Scale dependent dimension of luminous matter in the universe

Physical Review Letters
P Bak, K Chen

Abstract

We suggest a geometrical model for the distribution of luminous matter in the Universe, where the apparent dimension, D(l), increases linearly with the logarithm of the scale l. Beyond the correlation length, xi, the Universe is homogeneous, and D = 3. Comparison with data from the SARS redshift catalog, and the LEDA database provides a good fit with a correlation length xi approximately 300 Mpc. This type of scaling structure was recently discovered in a simple reaction-diffusion "forest-fire" model, indicating a broad class of scaling phenomena.

References

Feb 16, 2000·The Astrophysical Journal·A GabrielliR Durrer
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K Chen, P Bak
Jul 25, 1986·Science·L S Schulman, P E Seiden

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Citations

Aug 2, 2018·PloS One·Patrick C F BuchholzJürgen Pleiss
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Isliker, L Vlahos

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