Photon frequency diffusion process
arXiv:2202.08660 · doi:10.1007/s10955-022-02960-0
Abstract
We introduce a stochastic multi-photon dynamics on reciprocal space. Assuming isotropy, we derive the diffusion limit for a tagged photon to be a nonlinear Markov process on frequency. The nonlinearity stems from the stimulated emission. In the case of Compton scattering with thermal electrons, the limiting process describes the dynamical fluctuations around the Kompaneets equation. More generally, we construct a photon frequency diffusion process which enables to include nonequilibrium effects. Modifications of the Planck Law may thus be explored, where we focus on the low-frequency regime.
30 pages, 8 figures
References in corpus (5)
- Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies
- On the derivation of the Kompaneets equation
- Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies. II. comparison of covariant formalisms