相对论性扩散的线性化Kompaneetz方程
Linearized Kompaneetz equation as a relativistic diffusion
摘要：
我们表明，Kompaneetz方程描述的光子扩散的环境中的电子气，当其平衡分布附近线性化，符合相对论扩散在最近的出版物中讨论。相对论扩散模型与虚时量子力学的可解模型有关。我们提出了一些非线性广义的相对论扩散方程及其天体物理应用（特别是Sunyaev-Zeldovich效应）。
英文摘要：
We show that Kompaneetz equation describing photon diffusion in an environment of an electron gas, when linearized around its equilibrium distribution, coincides with the relativistic diffusion discussed in recent publications. The model of the relativistic diffusion is related to soluble models of imaginary time quantum mechanics. We suggest some non-linear generalizations of the relativistic diffusion equation and their astrophysical applications (in particular to the Sunyaev-Zeldovich effect).
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