Scaling analysis of dark matter models

Details Scaling analysis of dark matter models Scaling analysis of dark matter models

Jun 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aph.....5...53m&link_type=abstract

ASTROPARTICLE PHYSICS, Volume 5, Issue 1, p. 53-68.

Physics

4

Scientific paper

We discuss the scaling analysis of CDM and CHDM simulations. We show that on scales larger than about 4-5 h^-1 Mpc the two models behave quite differently. In particular, CDM simulations with bias b=1.5 reveal a smooth transition from fractality to homogeneity, while CDM models with bias b=1 are characterised by the existence of an intermediate scaling regime with generalized dimensions between 2 and 3. The CHDM models tend to generate an intermediate scaling regime with values of the generalized dimensions smaller than 2. Correspondingly, the value of the filling factor at intermediate scales, defined as the fraction of non-empty volumes sampling the distribution, is different for CDM and CHDM simulations: the CHDM model is less ``space-filling'' than the standard CDM. These results indicate that the scaling analysis is a valuable tool for distinguishing between different cosmological models and that a careful evaluation of the behavior of the galaxy distribution in the weakly nonlinear regime between about 5 and 20 h^-1 Mpc could provide hints about the reliability of different DM models.

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