Journal of Statistical Physics

, Volume 168, Issue 5, pp 1016–1030 | Cite as

Energy Statistics in Open Harmonic Networks

  • Tristan Benoist
  • Vojkan Jakšić
  • Claude-Alain Pillet


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).


Harmonic networks Energy statistics Open systems Large deviations Variance-gamma distribution 


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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • Tristan Benoist
    • 1
  • Vojkan Jakšić
    • 2
  • Claude-Alain Pillet
    • 3
  1. 1.Institut de Mathématiques de Toulouse, Équipe de Statistique et ProbabilitésUniversité Paul SabatierToulouse Cedex 9France
  2. 2.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada
  3. 3.Aix Marseille UnivUniversité de Toulon, CNRS, CPTMarseilleFrance

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