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arXiv 0705.0305astro-ph
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辐射和气压相当的吸积盘环隙的热力学

Thermodynamics of an Accretion Disk Annulus with Comparable Radiation and Gas Pressure

Julian H. Krolik, Shigenobu Hirose, Omer Blaes

摘要:

我们探讨了局部补丁的吸积盘的参数选择,使辐射压力和气体压力的大小是可比的热力学和全球结构特性。加热,辐射传输,和冷却计算自洽的结构,通过求解辐射MHD方程的剪切盒近似。使用一个完整的三维和节能代码,我们计算的结构和能量平衡的磁盘段超过四十个冷却时间的跨度。当气体压力占主导地位时,圆盘的上层大气也是由磁性支撑的。然而,与气体主导的情况不同,没有达到稳态;相反,总的(即,辐射加气体)的能量含量在几十个轨道的时间尺度上波动3- 4倍,没有长期趋势。因为辐射压力的变化比气体压力大得多,所以辐射压力与气体压力的比值在大约0.5- 2的范围内变化。体积积分耗散率通常随总能量的增加而增加,但平均趋势略慢于线性趋势,瞬时耗散率通常是该总能级平均值的两倍或两倍。局部地,单位体积的耗散率与电流密度近似成比例;单位质量的时间平均耗散率与m^{-1/2}成比例,其中m是靠近顶面或底面的水平平均质量柱密度。在我们早期的研究中,气体为主的剪切盒,我们发现,能量传输完全由辐射扩散为主,与坡印亭通量进行不到1%的能量损失的盒子。

英文摘要:

We explore the thermodynamic and global structural properties of a local patch of an accretion disk whose parameters were chosen so that radiation pressure and gas pressure would be comparable in magnitude. Heating, radiative transport, and cooling are computed self-consistently with the structure by solving the equations of radiation MHD in the shearing-box approximation. Using a fully 3-d and energy-conserving code, we compute the structure and energy balance of this disk segment over a span of more than forty cooling times. As is also true when gas pressure dominates, the disk's upper atmosphere is magnetically-supported. However, unlike the gas-dominated case, no steady-state is reached; instead, the total (i.e., radiation plus gas) energy content fluctuates by factors of 3--4 over timescales of several tens of orbits, with no secular trend. Because the radiation pressure varies much more than the gas pressure, the ratio of radiation pressure to gas pressure varies over the approximate range 0.5--2. The volume-integrated dissipation rate generally increases with increasing total energy, but the mean trend is somewhat slower than linear, and the instantaneous dissipation rate is often a factor of two larger or smaller than the mean for that total energy level. Locally, the dissipation rate per unit volume scales approximately in proportion to the current density; the time-average dissipation rate per unit mass is proportional to m^{-1/2}, where m is the horizontally-averaged mass column density to the nearer of the top or bottom surface. As in our earlier study of a gas-dominated shearing-box, we find that energy transport is completely dominated by radiative diffusion, with Poynting flux carrying less than 1% of the energy lost from the box.

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