指向最小散射：星系团的广义标度关系
Pointing to the minimum scatter: the generalized scaling relations for galaxy clusters
摘要：
在流体力学模拟的X射线星系团的总质量重建中，我们引入了一个广义标度律M_tot = 10 ^KA ^a B ^b，在给定气体质量M_gas、光度L和温度T的情况下，寻找最小散射。我们发现在对数斜率$a$和$b$的标度关系的平面中的轨迹，其中质量的分散最小化。对于A = M_gas和L，以及B = T，该轨迹分别对应于b_M =-3/2 a_M +3/2和b_L =-2 a_L +3/2。沿着这些轴，可以识别所有已知的标度关系（在不同的分散水平），加上一个新的定义为M_tot~（LT）^（1/2）。在自相似的情况下，给出了计算红移演化的简单公式。在这种情况下，分别对于（b_M = 0，a_M = 1）和（b_L = 7/2，a_L =-1）的情况，没有预测标度关系的演变。一旦单个量被归一化为所考虑的样本的平均值，则对应于具有最小散射的区域的归一化K非常接近于零。这些关系的组合允许减少的自由参数的数量的拟合函数，涉及X射线观测到的总质量，并包括自相似红移的演变。
英文摘要：
We introduce a generalized scaling law, M_tot = 10^K A^a B^b, to look for the minimum scatter in reconstructing the total mass of hydrodynamically simulated X-ray galaxy clusters, given gas mass M_gas, luminosity L and temperature T. We find a locus in the plane of the logarithmic slopes $a$ and $b$ of the scaling relations where the scatter in mass is minimized. This locus corresponds to b_M = -3/2 a_M +3/2 and b_L = -2 a_L +3/2 for A=M_gas and L, respectively, and B=T. Along these axes, all the known scaling relations can be identified (at different levels of scatter), plus a new one defined as M_tot ~ (LT)^(1/2). Simple formula to evaluate the expected evolution with redshift in the self-similar scenario are provided. In this scenario, no evolution of the scaling relations is predicted for the cases (b_M=0, a_M=1) and (b_L=7/2, a_L=-1), respectively. Once the single quantities are normalized to the average values of the sample under considerations, the normalizations K corresponding to the region with minimum scatter are very close to zero. The combination of these relations allows to reduce the number of free parameters of the fitting function that relates X-ray observables to the total mass and includes the self-similar redshift evolution.
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