A metriplectic formulation of polarized radiative transfer

V Bosboom, M Kraus, M Schlottbom

2023 · Journal of Physics A: Mathematical and Theoretical · vol. 56 · no. 34 · pp. 345206 · IOP Publishing · 10.1088/1751-8121/aceae2

Abstract

Abstract 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.

@article{Bosboom_2023,
 title={A metriplectic formulation of polarized radiative transfer},
 volume={56},
 ISSN={1751-8121},
 url={http://dx.doi.org/10.1088/1751-8121/aceae2},
 DOI={10.1088/1751-8121/aceae2},
 number={34},
 journal={Journal of Physics A: Mathematical and Theoretical},
 publisher={IOP Publishing},
 author={Bosboom, V and Kraus, M and Schlottbom, M},
 year={2023},
 month=Aug,
 pages={345206} }