1996/07/04 by J. Fernando Barbero G., J. F. Barbero G., Álvaro Domínguez +4 · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #Theoretical and Computational Physics #astro-ph #gr-qc
paper · pdf · doi:10.1209/epl/i1997-00296-0
13 pages with 2 encapsulated PostScript figures included, gzipped tar format
arxiv created 1996/07/04 · openalex publication_date 1997/06/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
As is well known, structure formation in the Universe at times after decoupling can be described by hydrodynamic equations. These are shown here to be equivalent to a generalization of the stochastic Kardar-Parisi-Zhang equation. As a consequence of the dynamical critical scaling induced by noise, these equations describe the fractal behavior observed at the smaller scales for the galaxy-to-galaxy correlation function and also the Harrison-Zel'dovich spectrum at decoupling. By a renormalization group calculation of the two-point correlation function between galaxies we can account, from first principles, for the main features of the observed shape of the power spectrum.