极化辐射传输的度量辛表述
A metriplectic formulation of polarized radiative transfer
AI总结：
本文提出了具有极化和变折射率的辐射传输方程的度量辛表述，证明其自动满足热力学前两条定律且导出的反对称括号满足 Jacobi 恒等式，同时验证了重要物理量在变换下保持不变。
摘要：
我们提出了具有极化和变折射率的辐射传输方程的度量辛表述，并证明该表述自动满足热力学前两条定律。特别地，导出的反对称括号满足 Jacobi 恒等式。为获得此表述，我们对方程进行适当变换，并证明由解导出的重要物理量在该变换下保持不变。
英文摘要：
We present a metriplectic formulation of the radiative transfer equation with polarization and varying refractive index and show that this formulation automatically satisfies the first two laws of thermodynamics. In particular, the derived antisymmetric bracket enjoys the Jacobi identity. To obtain this formulation we suitably transform the equation and show that important physical quantities derived from the solution remain invariant under such a transformation.
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