Structure of steady state accretion shocks with several cooling functions: Closed integral-form solution

Structure of steady state accretion shocks with several cooling functions: Closed integral-form solution
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具有多种冷却功能的稳态吸积激波的结构:闭积分形式解

DOI:
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发表时间:
1994
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影响因子:
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通讯作者:
G. Shaviv
G. Shaviv
中科院分区:
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作者:
Kinwah Wu;G. Chanmugam;G. Shaviv

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我们提出,第一次,一个封闭的积分形式的解决方案的情况下,冷却是由于光学薄韧致辐射和一系列的幂律密度和温度的冷却功能的吸积激波结构。我们的结果可以提供有用的检查数值计算和简单的有价值的参数,如冲击高度的准确估计。对于冷却速率j =(2/3)Arho(exp 2)(P/rho)(exp 1/2)(1 + λ(sub s)(P/P(sub s)(exp alpha)(rho(sub s)/rho)(exp beta))的情况,我们发现大量的吸积能以韧致辐射的形式在吸积激波底部释放出来。这意味着,对于回旋加速器主导的激波(定性地由α = 2.0,β = 3.85给出,并且λ(sub s)远大于1),韧致辐射冷却仍然在确定激波结构中起着至关重要的作用。我们的结果与详细的数值计算结果是一致的。
We present, for the first time, a closed integral-form solution to the accretion shock structures for the case where the cooling is due to optically thin bremsstrahlung emission and a series of power-law cooling functions of density and temperature. Our results can provide useful checks on numerical calculations and simple accurate estimates for valuable parameters such as the shock height. For the case where the cooling rate j = (2/3)Arho(exp 2)(P/rho)(exp 1/2)(1 + epsilon (sub s)(P/P(sub s)(exp alpha)(rho(sub s)/rho)(exp beta)), we find that a substantial amount of the accretion energy is released at the base of the accretion shock in the form of bremsstrahlung radiation. This implies that for a cyclotron-dominated shock (qualitatively given by alpha = 2.0, beta = 3.85, and epsilon(sub s) is much greater than 1), bremsstrahlung cooling still plays a crucial role in determining the shock structure. Our results are shown to be consistent with detailed numerical calculations.