We estimate galaxy clustering under a modified gravitational potential. In particular, the modifications in gravitational potential energy occur due to a power-law and cosmological constant terms. We derive a canonical partition function for the system of galaxies interacting under such a modified gravitational potential. Moreover, we compute various thermodynamical equation of states for the system. We do comparative analysis in order to emphasize the effect of corrections on thermodynamics of the system. Interestingly, the modifications in thermodynamical quantities are embedded in clustering parameter only.

中文翻译：

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幂律修正牛顿势下的星系聚类

我们估计了修改后的引力势下的星系团。特别是，引力势能的变化是由于幂律和宇宙常数项而发生的。我们为在这种修改后的引力势下相互作用的星系系统推导出一个典型的配分函数。此外，我们计算了系统的各种热力学状态方程。我们进行比较分析以强调修正对系统热力学的影响。有趣的是，热力学量的修改仅嵌入在聚类参数中。