论文标题
研究星系簇中两点相关函数的一种简单方法
A simplistic approach to the study of two-point correlation function in galaxy clusters
论文作者
论文摘要
我们在固定颗粒数密度n（bar）的近似值下开发了两点相关函数的功能形式。我们通过特性方法求解了准线性部分微分方程（PDE），以获得规范集合的参数解决方案。我们尝试了许多功能形式，并得出结论，功能形式应使得两点相关函数应随着系统温度值的增加或星系之间的分离变大。此外，我们研究了开发的两点相关函数的图形行为，用于较大的温度t值和空间分离r。还研究了从簇的温度测量值在0.023至0.546中的簇的温度测量中研究了两点函数的行为。
We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to obtain the parametric solution for the canonical ensemble. We attempted many functional forms and concluded that the functional form should be such that the two-point correlation function should go to zero as the value of system temperature increases or the separation between the galaxies becomes large. Also, we studied the graphical behavior of the developed two-point correlation function for large values of temperature T and spatial separation r. The behavior of the two-point function was also studied from the temperature measurement of clusters in the redshift range of 0.023 to 0.546.
