Green-Kubo relation for thermal radiation in non-reciprocal systems

TL;DR

This paper extends the Green-Kubo relation to non-reciprocal systems, linking near- and far-field heat transfer to equilibrium fluctuations, using scattering theory and fluctuation-dissipation theorem.

Contribution

It generalizes the Green-Kubo relation to non-reciprocal objects and environments, broadening its applicability in thermal radiation studies.

Findings

Derived a generalized Green-Kubo relation for non-reciprocal systems

Connected heat transfer with equilibrium fluctuations in complex environments

Utilized scattering approach and fluctuation-dissipation theorem

Abstract

We rederive the Green-Kubo relation establishing a connection between the near- and far-field heat transfer between two objects out of equilibrium to the equilibrium fluctuations of these objects in an arbitrary environment. Employing the scattering approach in combination with the fluctuation-dissipation theorem, we generalize the previously derived Green-Kubo expression to the case of non-reciprocal objects and non-reciprocal environments.