Thermal Spectra Without Detailed Balance

Fuente: arXiv
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Hauptverfasser: Lu, Xingjian, Shi, Shuzhe
Format: Preprint
Veröffentlicht: 2026
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author Lu, Xingjian
Shi, Shuzhe
author_facet Lu, Xingjian
Shi, Shuzhe
contents A thermal spectrum is often taken as a signature that the emitted probe has reached detailed balance with the surrounding medium. We show that this interpretation is not generally valid by studying how the microscopic emission kernel determines the macroscopic spectrum. In $3+1$ dimensions, a simple thermal spectrum can be generated without probe thermalization when the relevant kernel belongs to a thermally degenerate class. A representative case is realized when the differential cross section depends on the scattering angle but carries no additional dependence on the Mandelstam variable $s$, as in low-energy Thomson scattering. Our results provide a kernel-based criterion for distinguishing genuine probe--medium exchange equilibrium from thermal spectra produced by the structure of the emission kernel itself.
format Preprint
id arxiv_https___arxiv_org_abs_2604_27926
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Thermal Spectra Without Detailed Balance
Lu, Xingjian
Shi, Shuzhe
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
A thermal spectrum is often taken as a signature that the emitted probe has reached detailed balance with the surrounding medium. We show that this interpretation is not generally valid by studying how the microscopic emission kernel determines the macroscopic spectrum. In $3+1$ dimensions, a simple thermal spectrum can be generated without probe thermalization when the relevant kernel belongs to a thermally degenerate class. A representative case is realized when the differential cross section depends on the scattering angle but carries no additional dependence on the Mandelstam variable $s$, as in low-energy Thomson scattering. Our results provide a kernel-based criterion for distinguishing genuine probe--medium exchange equilibrium from thermal spectra produced by the structure of the emission kernel itself.
title Thermal Spectra Without Detailed Balance
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2604.27926