Skip to main content
Log in

Extended local equilibrium approach to stochastic thermodynamics

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

A new approach to stochastic thermodynamics is developed, in which the local equilibrium hypothesis is extended to incorporate the effect of fluctuations. A fluctuating entropy in the form of a random functional of the fluctuating state variables is introduced, whose balance equation allows to identify the stochastic entropy flux and stochastic entropy production. The statistical properties of these quantities are analyzed and illustrated on representative examples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S.R. de Groot, P. Mazur, Non-equilibrium Thermodynamics (Dover Publications, 2011)

  2. P. Glansdorff, I. Prigogine, Thermodynamic Theory of Structure, Stability and Fluctuations (John Wiley & Sons, 1971)

  3. F. Schlögl, Z. Phys. B 20, 177 (1975)

    Article  ADS  Google Scholar 

  4. F. Schlögl, Z. Phys. 248, 446 (1971)

    Article  ADS  Google Scholar 

  5. L. Jiu-Li, C. Van den Broeck, G. Nicolis, Z. Phys. B - Condensed Matter 56, 165 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  6. C.Y. Mou, L. Jiu-li, G. Nicolis, J. Chem. Phys. 84, 7011 (1986)

    Article  ADS  Google Scholar 

  7. M. Esposito, U. Harbola, S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. H. Ge, Phys. Rev. E 80, 021137 (2009)

    Article  ADS  Google Scholar 

  9. M. Santillán, H. Qian, Phys. Rev. E 83, 041130 (2011)

    Article  ADS  Google Scholar 

  10. C. Van den Broeck, Proceedings of the International School “Enrico Fermi” 184, 155 (2013)

  11. U. Seifert, Rep. Prog. Phys. 75, 126001 (2014)

    Article  ADS  Google Scholar 

  12. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, 1987)

  13. C.W. Gardiner, Stochastic Methods, 4th ed., Springer Series in Synergetics 13 (2009)

  14. D.T. Gillespie, Markov Processes: An Introduction for Physical Scientists (Academic Press, 1991)

  15. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edn. (North-Holland, 2007)

  16. H. Touchette, Phys. Rep. 478, 1 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  17. G. Gallavotti, E.G.D. Cohen, Phys. Rev. Lett. 74, 2694 (1995)

    Article  ADS  Google Scholar 

  18. P. Gaspard, J. Chem. Phys. 120, 8898 (2004)

    Article  ADS  Google Scholar 

  19. R. Kubo, Rep. Prog. Phys. 29, 255 (1966)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

De Decker, Y., Garcia Cantú Ros, A. & Nicolis, G. Extended local equilibrium approach to stochastic thermodynamics. Eur. Phys. J. Spec. Top. 224, 947–968 (2015). https://doi.org/10.1140/epjst/e2015-02438-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2015-02438-3

Keywords

Navigation