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
Article

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

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

References

  1. 1.
    Ciliberto, S., Imparato, A., Naert, A., Tanase, M.: Heat flux and entropy produced by thermal fluctuations. Phys. Rev. Lett. 110, 180601 (2013)ADSCrossRefGoogle Scholar
  2. 2.
    Jakšić, V., Pillet, C.-A., Shirikyan, A.: Entropic fluctuations in thermally driven harmonic networks. J. Stat. Phys. 166, 926–1015 (2017)ADSMathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Jakšić, V., Pillet, C.-A., Shirikyan, A.: Entropic fluctuations in Gaussian dynamical systems. Rep. Math. Phys. 77, 335–376 (2016)ADSMathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Lebowitz, J.L., Spohn, H.: Stationary non-equilibrium states of infinite harmonic systems. Commun. Math. Phys. 54, 97–120 (1977)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    Watson, G.N.: A Treatise on the Theory of Bessel Functions, 2nd edn. Cambridge University Press, Cambridge (1966)MATHGoogle Scholar

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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