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Energy statistics in open harmonic networks

Mathematical Physics 2017-08-02 v1 math.MP Classical Physics

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)].

Keywords

Cite

@article{arxiv.1705.03970,
  title  = {Energy statistics in open harmonic networks},
  author = {Tristan Benoist and Vojkan Jakšić and Claude-Alain Pillet},
  journal= {arXiv preprint arXiv:1705.03970},
  year   = {2017}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-22T19:43:35.168Z