Emergence of Photon Bose-Einstein Condensation from Down-Scattering in Cold Electron Media

TL;DR

This paper demonstrates that photon Bose-Einstein condensation can emerge from inverse Compton scattering in cold electron gases, supported by numerical simulations and entropy analysis, providing a new theoretical framework for photon BEC formation.

Contribution

It introduces a novel theoretical model showing photon BEC emergence from cold electron media via modified Kompaneets equation and entropy maximization principles.

Findings

Photon number density increases at low energies indicating BEC formation

Numerical simulations confirm the BEC-like phase transition

Entropy analysis shows the condensate corresponds to maximum entropy

Abstract

In this study, we examine the emergence of photon Bose-Einstein condensation (BEC) resulting from the interaction of high-energy photons with a cold electron gas, modeled via a modified Kompaneets equation. Beginning with an initial black-body photon spectrum, we perform numerical simulations to track the evolution of the photon distribution under the influence of inverse Compton scattering, wherein photons dissipate energy through collisions with cold electrons. Our results demonstrate a pronounced enhancement of photon number density at the low-energy tail, indicative of a BEC-like phase transition. This phenomenon is further corroborated by an analysis of the entropy evolution during the cooling process, revealing that the condensate configuration corresponds to the entropy maximum, in accordance with thermodynamic principles. These findings establish a comprehensive theoretical framework for photon BEC formation in cold electron environments and underscore the significance of entropy maximization as a driving mechanism for condensation.