In this paper, we study the thermodynamics and statistics of the galaxies clustering affected by the dynamical dark energy. We consider two important dark energy models based on time dependent equation of state to evaluate the gravitational partition function. In the first model, we consider barotropic dark energy with time dependent equation of state. However, in the second model, we consider various kinds of Chaplygin gas equation of state which originally introduced by string theory. We calculate, analytically and numerically, the thermodynamic quantities in canonical and grand canonical ensembles. We investigate validity of the second law of thermodynamics for the total system of clustering of galaxies and dynamical dark energy. We finally evaluate the galaxy–galaxy correlation function and compare our model with Peebles’s power law and find that the model based on generalized Chaplygin gas may yields to more agreement with observations.

在本文中，我们研究了受动态暗能量影响的星系团簇的热力学和统计学。我们考虑了基于时间依赖状态方程的两个重要的暗能量模型，以评估重力分配函数。在第一个模型中，我们考虑具有时间相关状态方程的正压暗能量。但是，在第二个模型中，我们考虑了最初由弦论引入的各种Chaplygin气体状态方程。我们通过分析和数值计算经典合奏和大经典合奏中的热力学量。我们研究了热力学第二定律对星系和动态暗能量聚类整个系统的有效性。