Approximation Methods for Non-linear Gravitational Clustering
| dc.creator | Sahni, Varun | |
| dc.creator | Coles, Peter | |
| dc.date | 1995-05-02 | |
| dc.date.accessioned | 2026-07-07T11:46:06Z | |
| dc.date.available | 2026-07-07T11:46:06Z | |
| dc.description | We discuss various analytical approximation methods for following the evolution of cosmological density perturbations into the strong (i.e. nonlinear) clustering regime. These methods can be classified into five types: (i) simple extrapolations from linear theory, such as the high--peak model and the lognormal model; (ii) {\em dynamical} approximations, including the Zel'dovich approximation and its extensions; (iii) non--linear models based on purely geometric considerations, of which the main example is the Voronoi model; (iv) statistical solutions involving scaling arguments, such as the hierarchical closure {\em ansatz} for BBGKY, fractal models and the thermodynamic model of Saslaw; (v) numerical techniques based on particles and/or hydrodynamics. We compare the results of full dynamical evolution using particle codes and the various other approximation schemes. To put the models we discuss into perspective, we give a brief review of the observed properties of galaxy clustering and the statistical methods used to quantify it, such as correlation functions, power spectra, topology and spanning trees. | |
| dc.description | 175 pages, 20 figures. To appear in Phys. Rep. 1995. Hard copies of figures/Manuscript available upon request from: varun@iucaa.ernet.in | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9505005 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9505005 | |
| dc.identifier | Phys.Rept.262:1-135,1995 | |
| dc.identifier | doi:10.1016/0370-1573(95)00014-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202109 | |
| dc.subject | Astrophysics | |
| dc.title | Approximation Methods for Non-linear Gravitational Clustering | |
| dc.type | text |