遇见数据集

QQNM ratio amplitudes at null infinity

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Zenodo2026-04-09 更新2026-05-26 收录
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The files contain all the computed QQNMs ratio of the second-order strain against its two parent modes for a Schwarzschild spacetime, for all couplings 1 < l < 6 and n < 2. E.g. h_{220x220 -> 44}^{(2)} / (h_{220}^{(1)} * h_{220}^{(1)}), as a function of the parent regular and (conjugate of) mirror mode amplitudes of psi4. Note that it uses the q-convention (see paper arXiv:2503.07432). E.g. AConjPsi4[2, -2, 1]) is is the conjugate of the mirror mode to the regular 220 mode amplitude of Psi4 (not the overtone!). Note that, since they always appear as the ratio of mode amplitudes of Psi4, they are also equal to the ratio of the associated mode amplitdues of the strain, e.g. AConjPsi4[2,-2,1] / APsi4[2,2,0] = Conjugate[hstrain[2,-2,1]] / hstrain[2,2,0] (because APsi4 is proportional, up to a real constant, to omega^2 hstrain and use the property to relate the regular and mirror frequencies).Each file is a list of such contributions, where each element of the list is of the form:{{{s,L,M}, {l1,m1,q1}, {l2,m2,q2}}, amplitude of the QQNM strain ratio at infinity},(s is the spin, and is always -2 here).We remark that the amplitudes for QQNM frequencies near/at the branch cut are not accurate, as we experienced a lot of convergence issues.

本数据集包含史瓦西时空(Schwarzschild spacetime)下,二阶应变的二次准正则模(Quasi-Quasi-Normal Mode, QQNM)比值相对于其两个母模(parent modes)的全部计算结果,覆盖所有满足$1 < l < 6$且$n < 2$的参数范围。示例如下:$h_{220x220 o 44}^{(2)} / (h_{220}^{(1)} cdot h_{220}^{(1)})$,该比值作为$Psi_4$的正则母模振幅与镜像模(mirror mode)共轭振幅的函数形式呈现。 本数据集采用q约定(q-convention),具体说明可参考论文arXiv:2503.07432。例如,`AConjPsi4[2, -2, 1]`代表$Psi_4$的220正则模对应的镜像模振幅的共轭(并非泛音(overtone)模)。需注意,由于此类比值始终以$Psi_4$的模振幅之比的形式出现,因此它们也等价于对应应变(strain)的模振幅之比,例如:$AConjPsi4[2,-2,1] / APsi4[2,2,0] = ext{Conjugate}[hstrain[2,-2,1]] / hstrain[2,2,0]$(推导依据为:$APsi4$与$omega^2 hstrain$仅相差一个实常数比例因子,且可利用正则频率与镜像频率的关联性质得到该关系)。 每个文件均为此类贡献项的列表,列表中的每个元素格式为:${{{s,L,M}, {l1,m1,q1}, {l2,m2,q2}}, 无穷远处的QQNM应变比振幅}$,其中$s$为自旋量子数(spin),此处恒为-2。 需特别说明的是,位于分支割线(branch cut)附近或其上的QQNM频率对应的振幅精度不足,因为我们在该类计算中遭遇了大量收敛性问题(convergence issues)。

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Zenodo
创建时间:
2026-04-09
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