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arXiv 1312.2525astro-ph.HE
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超强磁场中的康普顿化:辐射转移问题的数值解

Comptonization in ultra-strong magnetic fields: numerical solution of the radiative transfer problem

C. Ceccobello, R. Farinelli, L. Titarchuk

摘要:

本文研究了在超临界磁场作用下热电子平板中的辐射转移问题。在这样的条件下,磁场表现为用于传播光子的双折射介质,并且电磁辐射被分成具有不同横截面的两个偏振模式,普通和非常。当平板的光学厚度较大时,普通模光子被强康普顿化,光子场由各向同性分量主导。强磁场中的辐射转移问题涉及到许多数学问题,只有在一定的近似下才能得到解析解或数值解。我们调查这个问题,从分析和数值的角度来看,提供了一个测试以前的分析估计和扩展这些结果引入数值技术。我们考虑了低温黑体光子在亚相对论温度等离子体中传播的情况,这使我们能够处理辐射转移方程的半福克-普朗克近似。我们报告的数值解的本征值和本征函数的空间运营商,和新兴的康普顿光谱的普通模式光子的任何本征值的空间方程和能量显着小于回旋能量,这是MeV的顺序的强度的磁场在这里考虑。在大角度和大光学深度近似下,导出了普通光子的比强度。这些假设允许使用类似扩散的近似来处理方程。

英文摘要:

We consider the radiative transfer problem in a plane-parallel slab of thermal electrons in the presence of an overcritical magnetic field. Under such conditions, the magnetic field behaves as a birefringent medium for the propagating photons, and the electromagnetic radiation is split into two polarization modes, ordinary and extraordinary, having different cross-sections. When the optical depth of the slab is large, the ordinary-mode photons are strongly Comptonized and the photon field is dominated by an isotropic component. The radiative transfer problem in strong magnetic fields presents many mathematical issues and analytical or numerical solutions can be obtained only under some given approximations. We investigate this problem both from the analytical and numerical point of view, providing a test of the previous analytical estimates and extending these results introducing numerical techniques. We consider the case of low temperature blackbody photons propagating in a sub-relativistic temperature plasma, which allows us to deal with a semi Fokker-Planck approximation of the radiative transfer equation. We report the numerical solution obtained for eigenvalues and eigenfunctions of the space operator, and the emerging Comptonization spectrum of the ordinary-mode photons for any eigenvalue of the space equation and for energies significantly less than the cyclotron energy, which is of the order of MeV for the intensity of the magnetic field here considered. We derived the specific intensity of the ordinary photons, under the approximation of large angle and large optical depth. These assumptions allow the equation to be treated using a diffusion-like approximation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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