论文标题
$ i（cm）z $，一种用于星系簇热力学特性的半分析模型：具有质量和红移的校准，以及对静水压偏见的影响
$i(cm)z$, a semi-analytic model for the thermodynamic properties in galaxy clusters: calibrations with mass and redshift, and implication for the hydrostatic bias
论文作者
论文摘要
在星系簇形成和进化的自相似场景中，X射线发射等离子体的热力学特性只能在其对光环质量和红移的依赖性中预测。但是，已经观察到了与这种简单的自相似情况的几次偏离。我们展示了我们的半分析模型$ i（cm）z $如何通过两个与温度相关的数量（气体质量分数$ f_g = f_0 t^{f_1} e_z^{f_z} $修改自相似的预测和红移依赖性。我们使用已发布的17个缩放关系集来限制模型的参数。随后，我们能够对中心值的几％和名义误差的大约一个$σ$内观察到的缩放关系的斜率进行预测。从上下文中，还确定了这些缩放定律的演变，预测在$ 1.5σ$之内，并且在观测约束的10％以内。依靠此校准，我们还通过一些观察数据集评估了径向概况上预测的一致性。对于高质量数据（X-COP）的样本，我们能够约束模型的进一步参数，即静水偏置$ b $。通过校准模型，我们确定（i）温度依赖的斜率为$ f_1 = 0.403（\ pm0.009）$和$ t_1 = 0.144（\ pm0.017）$; （ii）对$ e_z $的依赖性被限制为$ f_z = -0.004（\ pm 0.023）$和$ t_z = 0.349（\ pm 0.059）$。这些值允许直接估算给定数量$q_δ$的正常化如何随质量（或温度）的函数而变化，形式为$q_Δ\ sim m^{a_m} a_m} e_z^{a_z} {a_z} {a_z} {a_z} \ sim t^{a_t} a_t} e_z^e_z^e_z^a__ {a a_ {a a_ {a a_ {a a a_ {a a_ {tz} $ nost oss ost ins of CONST of CONDENS，非常好的同意。
In the self-similar scenario for galaxy cluster formation and evolution, the thermodynamic properties of the X-ray emitting plasma can be predicted in their dependencies on the halo mass and redshift only. However, several departures from this simple self-similar scenario have been observed. We show how our semi-analytic model $i(cm)z$, which modifies the self-similar predictions through two temperature-dependent quantities, the gas mass fraction $f_g=f_0 T^{f_1} E_z^{f_z}$ and the temperature variation $f_T=t_0 T^{t_1} E_z^{t_z}$, can be calibrated to incorporate the mass and redshift dependencies. We used a published set of 17 scaling relations to constrain the parameters of the model. We were subsequently able to make predictions as to the slope of any observed scaling relation within a few percent of the central value and about one $σ$ of the nominal error. Contextually, the evolution of these scaling laws was also determined, with predictions within $1.5 σ$ and within 10 percent of the observational constraints. Relying on this calibration, we have also evaluated the consistency of the predictions on the radial profiles with some observational datasets. For a sample of high-quality data (X-COP), we were able to constrain a further parameter of the model, the hydrostatic bias $b$. By calibrating the model, we have determined that (i) the slopes of the temperature dependence are $f_1=0.403 (\pm0.009)$ and $t_1=0.144 (\pm0.017)$; and that (ii) the dependence upon $E_z$ are constrained to be $f_z=-0.004 (\pm 0.023)$ and $t_z=0.349 (\pm 0.059)$. These values permit one to estimate directly how the normalizations of a given quantity $Q_Δ$ changes as a function of the mass (or temperature) and redshift halo in the form $Q_Δ \sim M^{a_M} E_z^{a_z} \sim T^{a_T} E_z^{a_{Tz}}$, in very good agreement with the current observational constraints.
