# 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}
}
• Yang Zhang
• Published 2015
• Physics
• Astronomy and Astrophysics
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
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