Dynamical critical phenomena and large-scale structure of the Universe: The power spectrum for density fluctuations
Laboratorio de Astrofísica Espacial y Física Fundamental, Apartado 50727 28080 Madrid
2 Theoretical Division, Los Alamos National Laboratory - Los Alamos, New Mexico 87545
Accepted: 23 April 1997
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.
PACS: 98.65.Dx – Superclusters; large-scale structure of the Universe (including voids, pancakes, great wall, protogalaxies, and primordial galaxies) / 05.70.Jk – Critical point phenomena / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, 1997