弯曲时空中光子气体的协变线性响应理论
Covariant linear response theory for a photon gas in curved spacetime
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中文总结 AI 辅助
该研究针对强引力场中传统统计描述失效问题，从玻尔兹曼方程出发建立弯曲时空中光子气体的协变线性响应理论，推导了输运系数、广义输运定律及辐射扩散方程，为高能天体物理应用提供了协变辐射输运描述。
中文摘要 AI 辅助
为克服强引力场中传统非相对论统计描述失效的问题，我们从玻尔兹曼方程出发，采用弛豫时间近似，建立了弯曲时空中光子气体的协变理论。输运系数被计算至二阶，由于零质量粒子的相空间几何与有质量粒子存在本质差异，这些系数并非有质量粒子结果的零质量极限。在二阶水平上，引力场使系数成为张量值并诱导出横向通量，类似霍尔效应。利用一阶结果，我们推导了菲克定律和傅里叶定律的相对论推广形式，并得到了球对称吸积盘的辐射扩散方程。该工作为强引力场中的辐射输运提供了协变描述，可应用于高能天体物理领域。
英文摘要
To overcome the failure of the conventional non-relativistic description of statistics in strong gravitational fields, we develop a covariant theory for a photon gas in curved spacetime, starting from the Boltzmann equation and employing the relaxation time approximation. The transport coefficients are computed up to second order, which are not a massless limit of the massive-particle results due to the fundamentally different phase-space geometry of null particles. At second order, the gravitational field renders the coefficients tensor-valued and induces transverse fluxes, analogous to the Hall effect. Using the first-order results, we derive relativistic generalizations of Fick's and Fourier's laws and obtain the radiation diffusion equation for spherically symmetric accretion disks. This provides a covariant description of radiative transport in strong gravitational fields for high-energy astrophysical applications.
发表机构
- School of Physics, Northwest University（西北大学物理学院）
- Shaanxi Key Laboratory for Theoretical Physics Frontiers（陕西省理论物理前沿重点实验室）
- Peng Huanwu Center for Fundamental Theory（彭桓武理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。
