Cyg X-1软态功率谱的阻尼谐振子解释
Damped harmonic oscillator interpretation of the soft-state power spectra of Cyg X-1
摘要：
我们建立了一个吸积盘模型，在该模型中，在给定半径处引起的变化由相应周转频率处的阻尼谐振子控制。这种可变性在局部发射的辐射中引起线性和非线性响应。观测到的源的总变率是这些贡献在盘半径上的总和，并由每个半径处的能量耗散率加权。结果表明，这个简单的模型，它有效地只有三个参数，包括归一化，可以解释的范围内观察到的Cyg X-1在软状态下的功率谱。虽然黑洞质量和阻尼强度之间的简并不允许唯一地确定质量，但我们仍然可以将其限制在<16- 20太阳质量。我们还表明，我们的模型保留了所观察到的线性均方根通量的关系，即使在存在的非线性通量响应。
英文摘要：
We develop a model of an accretion disc in which the variability induced at a given radius is governed by a damped harmonic oscillator at the corresponding epicyclic frequency. That variability induces both linear and non-linear responses in the locally emitted radiation. The total observed variability of a source is the sum of these contributions over the disc radius weighted by the energy dissipation rate at each radius. It is shown that this simple model, which effectively has only three parameters including the normalization, can explain the range of the power spectra observed from Cyg X-1 in the soft state. Although a degeneracy between the black hole mass and the strength of the damping does not allow a unique determination of the mass, we can still constrain it to <16--20 solar masses. We also show that our model preserves the observed linear rms-flux relationship even in the presence of the non-linear flux response.
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