Resetting photons

Abstract

Starting from a frequency diffusion process for a tagged photon which simulates relaxation to the Planck law, we introduce a resetting where photons lower their frequency at random times. We consider two versions, one where the resetting to low frequency is independent of the existing frequency and a second case where the reduction in frequency scales with the original frequency. The result is a nonlinear Markov process where the stationary distribution modifies the Planck law by abundance of low-frequency occupation. The physical relevance of such photon resetting processes can be found in explorations of nonequilibrium effects, e.g., via random expansions of a confined plasma or photon gas or via strongly inelastic scattering with matter.

15 pages, 8 figures

References in corpus (5)

• Random walks with preferential relocations to places visited in the past and their application to biology
• 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
• Photon frequency diffusion process