# A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium

## TL;DR

This paper derives a detailed fluctuation theorem for heat fluxes in harmonic oscillator networks out of thermal equilibrium, providing insights into the statistical behavior of heat transfer in nonequilibrium steady states.

## Contribution

It extends previous work by establishing a large deviation principle and a fluctuation relation for heat flux fluctuations in harmonic networks.

## Key findings

- Proves a large deviation principle for heat flux fluctuations.
- Derives a fluctuation relation for the rate function.
- Analyzes heat flux statistics in nonequilibrium steady states.

## Abstract

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes flowing between the network and the reservoirs in the nonequilibrium steady state and in the large time limit. We prove a large deviation principle for these fluctuations and derive the fluctuation relation satisfied by the associated rate function.