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Halo Profiles and the Nonlinear Two- and Three-Point Correlation Functions of Cosmological Mass Density
The Astrophysical Journal
|February 26, 2000
Summary
The hierarchical clustering model
Area of Science:
- Cosmology
- Astrophysics
- Statistical Mechanics
Background:
- The hierarchical clustering model is a popular assumption in cosmology.
- It posits a scale-independent three-point amplitude (Q).
Purpose of the Study:
- To investigate nonlinear two- and three-point correlation functions.
- To test the hierarchical clustering model's assumptions.
- To explore the impact of dark matter halo profiles on clustering.
Main Methods:
- High-resolution N-body simulations (n=-2 scale-free and cold dark matter models).
- Analysis of correlation functions in Fourier space.
- Modeling using simple halo shapes and analytic clustering.
Main Results:
- The three-point amplitude (Q) is not scale-independent in the nonlinear regime.
- Q increases with wavenumber at late times.
- Self-similar scaling is less rigorous for the three-point function than the two-point function.
Conclusions:
- The hierarchical clustering model's assumption of scale-independence is challenged.
- Nonlinear clustering behavior is influenced by dark matter halo density profiles.
- Further research should focus on the link between correlation functions and halo profiles.