We study the nonlinear regime of large scale structure formation considering a dynamical dark energy (DE) component determined by a Steep Equation of State parametrization (SEoS) $w(z)=w_0+w_i\frac{(z/z_T)^q}{1+(z/z_T)^q}$. In order to perform the model exploration at low computational cost, we modified the public code L-PICOLA. We incorporate the DE model by means of the first and second-order matter perturbations in the Lagrangian frame and the expansion parameter. We analyze deviations of SEoS models with respect to $\Lambda$CDM in the non-linear matter power spectrum ($P_k$), the halo mass function (HMF), and the two-point correlation function (2PCF). On quantifying the nature of steep (SEoS-I) and smooth transitions in DE field (CPL-lim), no signature of steep transition is observed, rather found the overall impact of DE behaviors in $P_k$ at level of $\sim 2-3\%$ and $\sim 3-4\%$ differences w.r.t $\Lambda$CDM at $z=0$ respectively. HMF shows the possibility to distinguish between the models at the high mass ends. The best-fitted model assuming only background and linear perturbations dubbed as SEoS-II largely deviates from $\Lambda$CDM and current observations on studying the nonlinear growth. This large deviation in SEoS-II also quantified the combined effect of the dynamical DE and the larger amount of matter contained, $\Omega_{m0}$ and $H_{0}$ accordingly. 2PCF results are relatively robust with $\sim 1-2 \%$ deviation for SEoS-I and CPL-lim and a significant deviation for SEoS-II throughout $r$ from $\Lambda$CDM. Finally, we conclude that the search for viable DE models (like the SEoS) must include non-linear growth constraints.

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具有陡峭状态方程的暗能量模型的非线性结构形成

我们研究了考虑由状态参数化陡峭方程 (SEoS) $w(z)=w_0+w_i\frac{(z/z_T)^q} 确定的动态暗能量 (DE) 分量的大规模结构形成的非线性机制{1+(z/z_T)^q}$。为了以低计算成本进行模型探索，我们修改了公共代码 L-PICOLA。我们通过拉格朗日框架中的一阶和二阶物质扰动和扩展参数来合并 DE 模型。我们在非线性物质功率谱 ($P_k$)、晕质量函数 (HMF) 和两点相关函数 (2PCF) 中分析了 SEoS 模型相对于 $\Lambda$CDM 的偏差。在量化 DE 场 (CPL-lim) 中陡峭 (SEoS-I) 和平滑过渡的性质时，没有观察到陡峭过渡的特征，而是发现在 $P_k$ 中 DE 行为在 $\sim 2-3\%$ 和 $\sim 3-4\%$ 水平上的总体影响与 $\Lambda$CDM 在 $z=0$ 的差异。HMF 显示了区分高质量端模型的可能性。被称为 SEoS-II 的仅假设背景和线性扰动的最佳拟合模型在很大程度上偏离了 $\Lambda$CDM 和当前关于研究非线性增长的观察结果。SEoS-II 中的这种大偏差也量化了动力学 DE 和相应包含的大量物质 $\Omega_{m0}$ 和 $H_{0}$ 的综合影响。2PCF 结果相对稳健，SEoS-I 和 CPL-lim 的 $\sim 1-2 \%$ 偏差以及 SEoS-II 的整个 $r$ 与 $\Lambda$CDM 的显着偏差。最后，