# Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions

@article{Ma2000DerivingTN, title={Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions}, author={Chung-Pei Ma and James N. Fry}, journal={The Astrophysical Journal}, year={2000}, volume={543}, pages={503 - 513} }

We present an analytic model for the fully nonlinear two- and three-point correlation functions of the cosmological mass density field, and their Fourier transforms, the mass power spectrum and bispectrum. The model is based on physical properties of dark matter halos, with the three main model inputs being analytic halo density profiles, halo mass functions, and halo-halo spatial correlations, each of which has been well studied in the literature. We demonstrate that this new model can…

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## References

SHOWING 1-10 OF 45 REFERENCES

### Halo Profiles and the Nonlinear Two- and Three-Point Correlation Functions of Cosmological Mass Density

- PhysicsThe Astrophysical journal
- 2000

In high-resolution N-body simulations of both the n=-2 scale-free model and the cold dark matter model, it is found that Q at late times is not constant but increases with wavenumber far into the nonlinear regime.

### The Origin and Evolution of Halo Bias in Linear and Nonlinear Regimes

- Physics
- 1999

We present results from a study of bias and its evolution for galaxy-size halos in a large, high-resolution simulation of a low-density, cold dark matter model with a cosmological constant. In…

### The Mass Power Spectrum in Quintessence Cosmological Models

- Physics
- 1999

We present simple analytic approximations for the linear and fully evolved nonlinear mass power spectrum of matter density fluctuations for spatially flat cold dark matter (CDM) cosmological models…

### A Universal Density Profile from Hierarchical Clustering

- Physics
- 1997

We use high-resolution N-body simulations to study the equilibrium density profiles of dark matter halos in hierarchically clustering universes. We find that all such profiles have the same shape,…

### The Density Profiles of the Dark Matter Halo Are Not Universal

- PhysicsThe Astrophysical journal
- 2000

It is concluded that the dark matter density profiles, especially in the inner region, are not universal, because of the mass dependence of the inner slope with the primordial index of the fluctuation spectrum.

### An analytic model for the spatial clustering of dark matter haloes

- Physics
- 1996

We develop a simple analytic model for the gravitational clustering of dark matter haloes to understand how their spatial distribution is biased relative to that of the mass. The statistical…

### The structure of dark matter haloes in hierarchical clustering models

- Physics
- 1996

We use a set of large cosmological N-body simulations to study the internal structure of dark matter haloes which form in scale-free hierarchical clustering models (initial power spectra P(k) ∞ kn…

### A Universal Profile of the Dark Matter Halo and the Two-Point Correlation Function

- Physics
- 2000

We have found the relation between the two-point spatial correlation function and the density profile of dark matter halos in the strongly nonlinear regime. It is well known that when the density…

### The structure and dynamical evolution of dark matter haloes

- Physics
- 1997

We use N-body simulations to investigate the structure and dynamical evolution of dark matter halos in clusters of galaxies. Our sample consists of nine massive halos from an Einstein-De Sitter…

### High-order correlations of peaks and haloes: a step towards understanding galaxy biasing

- Physics
- 1997

We develop an analytic model for the hierarchical correlation amplitudes S_j(R)= \bxi_j(R)/\bxi_2^{j-1}(R) of density peaks and dark matter halos in the quasi-linear regime. The statistical…