Variability associated with α accretion disc theory for standard and advection-dominated discs

Variability associated with α accretion disc theory for standard and advection-dominated discs
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与标准盘和平流主导盘的 α 吸积盘理论相关的变异性

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发表时间:
1998
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通讯作者:
E. Blackman
E. Blackman
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作者:
E. Blackman

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吸积盘的α湍流粘性形式必须被解释为平均场理论,只在比湍流更大的空间尺度或时间尺度上模拟稳态。尺度分离的程度决定了光度预测的相对精度误差(RPE)。湍流和α的使用意味着:(1)磁力线拉伸给出的磁压一般为总压的<$α^2/6,对于薄圆盘,α与压力比之间存在一对一的关系;(2)对于给定的观测持续时间和中心质量,平流主导吸积流(ADAF)中的大湍流尺度预测的L_v精度低于薄圆盘。频率ν处的允许变异性(或RPE)随着贡献区域的大小而增加。对于X射线双星ADAF,当R ≤ 1000 Schwarzchild半径(R_s)时,平均值超过1000 s时,RPE约为5%。然而,对于像NGC 4258和M87这样的星系,即使在R ≤ 100 R_S的情况下,目前的数据也给出了50- 100%的L_v RPE。需要更多的数据,但ADAF预测的系统偏差比随机偏差更显着,可能会限制湍流,吸积模式,稳定状态或吸积率的假设的属性。
The α turbulent viscosity formalism for accretion discs must be interpreted as a mean field theory, modelling a steady state only on spatial or time-scales greater than those of the turbulence. The extent of the scale separation determines the relative precision error (RPE) of the predicted luminosity L_ν. Turbulence and the use of α implies that (1) field line stretching gives a magnetic pressure ≳ α^2/6 of the total pressure generally, and a one-to-one relation between α and the pressure ratio for thin discs, and (2) large turbulent scales in advection-dominated accretion flows (ADAFs) predict a lower L_ν precision than thin discs for a given observation duration and central mass. The allowed variability (or RPE) at frequency ν increases with the size of the contributing region. For X-ray binary ADAFs, the RPE ∼5 per cent at R ≤ 1000 Schwarzchild radii (R_s) for averages over ≳1000 s. However, current data for galaxies like NGC 4258 and M87 give RPEs in L_ν of 50–100 per cent even at R ≤ 100 R_S. More data are required, but systematic deviations from ADAF predictions are more significant than random deviations, and may constrain properties of the turbulence, the accretion mode, the assumption of a steady state or the accretion rate.