We study the nonlinear effects of the clustering and smooth quintessence. We present numerical and also approximate semi-analytical expressions of nonlinear power spectrum both for clustering and smooth dark energy models beyond the Baryon Acoustic Oscillations (BAO) scale. This approximation is motivated by the extension of the resummation method of Anselmi and Pietroni (J Cosmol Astro-Part Phys 12:13, 2012. arXiv:1205.2235) for the dark energy models with evolving equation of state. The results of this scheme allow us for the prediction of the nonlinear power spectrum in the mildly nonlinear regime up to few percentage accuracies compared to the other available tools to compute the nonlinear power spectrum for the evolving dark energy models.

中文翻译：

---

聚类中的非线性功率谱和超出 BAO 尺度的平滑暗能量模型

我们研究了聚类和平滑精髓的非线性效应。我们提出了非线性功率谱的数值和近似半解析表达式，用于超出重子声学振荡 (BAO) 尺度的聚类和平滑暗能量模型。这种近似是由 Anselmi 和 Pietroni (J Cosmol Astro-Part Phys 12:13, 2012. arXiv:1205.2235) 对具有演化状态方程的暗能量模型的求和方法的扩展所激发的。与其他可用工具相比，该方案的结果使我们能够预测轻度非线性区域中的非线性功率谱，准确率高达几个百分点，以计算演进暗能量模型的非线性功率谱。