Resetting photons
Guilherme Eduardo Freire Oliveira, Christian Maes, Kasper Meerts

TL;DR
This paper introduces a photon resetting process that lowers photon frequency at random times, resulting in a modified equilibrium distribution with increased low-frequency photons, relevant for nonequilibrium photon gas studies.
Contribution
It presents a novel nonlinear Markov process modeling photon frequency resetting, extending the understanding of nonequilibrium photon distributions beyond the classical Planck law.
Findings
Stationary distribution shows increased low-frequency photon occupation.
Two resetting models demonstrate different impacts on the photon spectrum.
The process models nonequilibrium effects in photon gases.
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.
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Taxonomy
TopicsDiffusion and Search Dynamics · Strong Light-Matter Interactions
