A metriplectic formulation of polarized radiative transfer
Mathematical Physics
2024-10-14 v2 math.MP
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.
Keywords
Cite
@article{arxiv.2301.07576,
title = {A metriplectic formulation of polarized radiative transfer},
author = {Vincent Bosboom and Michael Kraus and Matthias Schlottbom},
journal= {arXiv preprint arXiv:2301.07576},
year = {2024}
}