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arXiv 1004.4776astro-ph.CO
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用广义伽玛分布模拟Galerkin的光度函数

The Luminosity Function of Galaxies as modelled by the Generalized Gamma Distribution

Lorenzo Zaninetti

摘要:

从三参数和四参数广义伽玛分布出发,可以建立两个新的星系光度函数。在天体物理转换中,由于星系整体密度的增加,参数的数量增加了一个。第三个新的星系光度函数的建立从一个简单的非线性关系的质量和光度的星系质量的三参数广义伽玛分布开始,在这种情况下,参数的数量是五个,因为星系的整体密度和一个参数,调节质量和光度被添加。这三个新的星系光度函数在斯隆数字巡天(SDSS)的五个不同波段进行了测试;结果总是比谢克特函数“更好地拟合”。已经开发的形式主义,允许分析的Schechter函数与变换的位置。理论和观测到的星系数量之间的函数红移进行了测试的数据提取的2度场星系红移调查。

英文摘要:

Two new luminosity functions of galaxies can be built starting from three and four parameter generalized gamma distributions. In the astrophysical conversion, the number of parameters increases by one, due to the addition of the overall density of galaxies. A third new galaxy luminosity function is built starting from a three parameter generalized gamma distribution for the mass of galaxies once a simple nonlinear relationship between mass and luminosity is assumed; in this case the number of parameters is five because the overall density of galaxies and a parameter that regulates mass and luminosity are added. The three new galaxy luminosity functions were tested on the Sloan Digital Sky Survey (SDSS) in five different bands; the results always produce a "better fit" than the Schechter function. The formalism that has been developed allows to analyze the Schechter function with a transformation of location. A test between theoretical and observed number of galaxies as a function of redshift was done on data extracted from a two-degree field galaxy redshift survey.

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