# Energy statistics in open harmonic networks

## TL;DR

This paper investigates the long-term behavior of energy statistics in open harmonic networks, establishing a connection to the variance-gamma distribution and validating predictions with experimental data.

## Contribution

It introduces a comprehensive analysis linking energy fluctuations in harmonic networks to the variance-gamma distribution and proves a full Large Deviation Principle.

## Key findings

- Energy statistics follow a variance-gamma distribution asymptotically.
- Theoretical predictions align with experimental data from electronic RC networks.
- Large Deviation Principle is established for both Hamiltonian and stochastic dynamics.

## Abstract

We relate the large time asymptotics of the energy statistics in open harmonic networks to the variance-gamma distribution and prove a full Large Deviation Principle. We consider both Hamiltonian and stochastic dynamics, the later case including electronic RC networks. We compare our theoretical predictions with the experimental data obtained by Ciliberto et al. [Phys. Rev. Lett. 110, 180601 (2013)].