论文标题

部分可观测时空混沌系统的无模型预测

A NuSTAR view of SS433: Precessional evolution of the jet-disk system

论文作者

Fogantini, Federico A., García, Federico, Combi, Jorge A., Chaty, Sylvain, Martí, Josep, Escamilla, Pedro L. Luque

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

SS433 is a Galactic microquasar with powerful outflows (double jet, accretion disk and winds) with well known orbital, precessional and nutational period. In this work we characterise different outflow parameters throughout the precessional cycle of the system. We analyse 10 NuSTAR ($3-70$ keV) observations of $\sim$30~ks that span $\sim$1.5 precessional cycles. We extract averaged spectra and model them using a combination of a double thermal jet model (bjet) and pure neutral and relativistic reflection (xillverCp and relxilllpCp) over an accretion disk. We find an average jet bulk velocity of $β= v/c \sim0.29$ with an opening angle of $\lesssim$6~degrees. Eastern jet kinetic power ranges from 1 to $10^{39}$~erg/s, with base "coronal" temperatures $T_o$ ranging between 14 and 18 keV. Nickel to iron abundances remain constant at $\sim$9 (within 1$σ$). The western to eastern jet flux ratio becomes $\sim1$ on intermediate phases, about 35% of the total precessional orbit. The $3-70$ keV total unabsorbed luminosity of the jet and disk ranges from 2 to 20 $\times$10$^{37}$~erg/s, with the disk reflection component contributing mainly to the hard $20-30$ keV excess and the stationary 6.7 keV ionized Fe line complex. At low opening angles $Θ$ we find that the jet expands sideways following an adiabatic expansion of a gas with temperature $T_o$. Finally, the central source and lower parts of the jet could be hidden by an optically thick region of $τ> 0.1$ and size $R\sim N_H/n_{e0}\sim1.5\times10^9$~cm$\sim$1700~$r_g$ for $M_{BH}=3~M_{\odot}$

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