典型文献
The Analytical Equation of the Three-point Correlation Function of Galaxies:to the Third Order of Density Perturbation
文献摘要：
Applying functional differentiation to the density field with Newtonian gravity,we obtain the static,nonlinear equation of the three-point correlation function ζ of galaxies to the third order density perturbations.We make the equation closed and perform renormalization of the mass and the Jeans wavenumber.Using the boundary condition inferred from observations,we obtain the third order solution ζ(r,u,θ)at fixed u=2,which is positive,exhibits a U-shape along the angle θ,and decreases monotonously along the radial r up to the range r≤30 h-1 Mpc in our computation.The corresponding reduced Q(r,u,θ)deviates from 1 of the Gaussian case,has a deeper U-shape alongθ,and varies non-monotonously along r.The third order solution agrees with the SDSS data of galaxies,quite close to the previous second order solution,especially at large scales.This indicates that the equations of correlation functions with increasing orders of density perturbation provide a stable description of the nonlinear galaxy system.
文献关键词：
中图分类号：
作者姓名：
Shu-Guang Wu;Yang Zhang
作者机构：
Department of Astronomy,Key Laboratory for Researches in Galaxies and Cosmology,University of Science and Technology of China,Hefei 230026,China
文献出处：
引用格式：
[1]Shu-Guang Wu;Yang Zhang-.The Analytical Equation of the Three-point Correlation Function of Galaxies:to the Third Order of Density Perturbation)[J].天文和天体物理学研究,2022(12):123-129
A类：
Galaxies,Mpc
B类：
Analytical,Equation,Three,point,Correlation,Function,Third,Order,Density,Perturbation,Applying,functional,differentiation,density,field,Newtonian,gravity,we,obtain,static,nonlinear,three,correlation,galaxies,third,perturbations,We,make,closed,perform,renormalization,mass,Jeans,wavenumber,Using,boundary,condition,inferred,from,observations,solution,fixed,which,positive,exhibits,shape,along,angle,decreases,monotonously,radial,up,range,our,computation,corresponding,reduced,deviates,Gaussian,case,has,deeper,varies,agrees,SDSS,data,quite,previous,second,especially,large,scales,This,indicates,that,equations,functions,increasing,orders,provide,stable,description,galaxy,system
AB值：
0.623632
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