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

@article{Zhang2015FieldEO, title={Field equation of the correlation function of mass-density fluctuations for self-gravitating systems}, author={Yang Zhang and Qing Chen}, journal={Astronomy and Astrophysics}, year={2015}, volume={581} }

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 the field equation of correlation function $\xi(r)$ of the mass density fluctuation itself. It can apply to the study of galaxy clustering on Universe large scales. The observed $\xi(r)\simeq (r_0/r)^{1.7}$ follows from first principle.
The equation tells that $\xi(r)$ depends on the point mass $m$ and… Expand

#### 4 Citations

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

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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… Expand

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