Field theory of the correlation function of mass density fluctuations for self-gravitating systems

@article{Zhang2019FieldTO,
  title={Field theory of the correlation function of mass density fluctuations for self-gravitating systems},
  author={Y. H. Zhang and Qing Yuan Chen and Shucheng Wu},
  journal={Research in Astronomy and Astrophysics},
  year={2019}
}
We study the mass-density distribution of Newtonian self-gravitating systems. Modeling the system as a fluid in hydrostatical equilibrium, we obtain from first principles the field equation and its solution of the correlation function ξ(r) of the mass-density fluctuation itself. We apply this to studies of the large-scale structure of the Universe within a small redshift range. The equation shows that ξ(r) depends on the point mass m and the Jeans wavelength scale λ0, which are different for… Expand
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References

SHOWING 1-10 OF 80 REFERENCES
Field equation of the correlation function of mass-density fluctuations for self-gravitating systems
We study the mass density distribution of the Newtonian self-gravitating system. Modeling the system either as a gas in thermal equilibrium, or as a fluid in hydrostatical equilibrium, we obtain theExpand
Nonlinear density fluctuation field theory for large scale structure
We develop an effective field theory of density fluctuations for a Newtonian self-gravitating N-body system in quasi-equilibrium and apply it to a homogeneous universe with small densityExpand
A coarse-grained field theory for density fluctuations and correlation functions of galaxies and clusters
  • Yang Zhang
  • Physics
  • 2007
Aims. We aim to investigate the large-scale structure of the universe from a field-theoretical perspective, and to give a unifying understanding of several seemingly unrelated observed features ofExpand
The Fractal Structure of the Universe: A New Field Theory Approach
While the universe becomes more and more homogeneous at large scales, statistical analysis of galaxy catalogs have revealed a fractal structure at small scales (λ < 100 h-1 Mpc), with a fractalExpand
A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
TLDR
A precise measurement of the clustering of superclusters of galaxies using the redshifts of more than 141,000 galaxies from the 2dF galaxy redshift survey is reported, which favours a low-density Universe with Ω ≈ 0.3. Expand
Large scale structure of the universe and cosmological perturbation theory
Abstract We review the formalism and applications of non-linear perturbation theory (PT) to understanding the large-scale structure of the Universe. We first discuss the dynamics of gravitationalExpand
Self-gravity as an explanation of the fractal structure of the interstellar medium
THE gas clouds of the interstellar medium have a fractal structure, the origin of which has generally been thought to lie in turbulence1,2. The energy of turbulence could come from galactic rotationExpand
A 120-Mpc periodicity in the three-dimensional distribution of galaxy superclusters
ACCORDING to the favoured models for the formation of large-scale structure in the Universe (in which the dynamics of the Universe is dominated by cold dark matter), the distribution of galaxies andExpand
The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
We present a detailed analysis of the two-point correlation function, xi(sigma, pi), from the 2dF Galaxy Redshift Survey (2dFGRS). The large size of the catalogue, which contains similar to220 000Expand
The richness dependence of galaxy cluster correlations: Results from a redshift survey of rich APM clusters.
We analyze the spatial clustering properties of a new catalog of very rich galaxy clusters selected from the APM Galaxy Survey. These clusters are of comparable richness and space density to AbellExpand
...
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2
3
4
5
...