Skip to main content
SpringerLink
Log in

Positivity of Entropy Production

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We discuss the positivity of the mean entropy production for stochastic systems driven from equilibrium, as it was defined in refs. 7 and 8. Non-zero entropy production is closely linked with violation of the detailed balance condition. This connection is rigorously obtained for spinflip dynamics. We remark that the positivity of entropy production depends on the choice of time-reversal transformation, hence on the choice of the dynamical variables in the system of interest.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. T. Antal, Z. Rácz, and L. Sasvári, Nonequilibrium steady state in a quantum system: one-dimensional transverse Ising model with energy current, Phys. Rev. Lett. 78:167 (1997).

    Google Scholar 

  2. G. Gallavotti, Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem, J. Stat. Phys. 84:899-926 (1996).

    Google Scholar 

  3. G. Gallavotti and E. G. D. Cohen, Dynamical ensembles in stationary states, J. Stat. Phys. 80:931-970 (1995).

    Google Scholar 

  4. H. Künsch, Non reversible stationary measures for infinite interacting particle systems, Z. Wahrsch. Verw. Gebiete 66:407 (1984).

    Google Scholar 

  5. J. L. Lebowitz and H. Spohn, A Gallavotti Cohen type symmetry in the large deviation functional for stochastic dynamics, J. Stat. Phys. 95:333-365 (1999).

    Google Scholar 

  6. T. M. Liggett, Interacting Particle Systems (Springer, Berlin, Heidelberg, New York, 1985).

    Google Scholar 

  7. C. Maes, The Fluctuation Theorem as a Gibbs Property, J. Stat. Phys. 95:367-392 (1999).

    Google Scholar 

  8. C. Maes, F. Redig, and A. Van Moffaert, On the definition of entropy production, via examples, J. Math. Phys. 41:1528 (2000).

    Google Scholar 

  9. D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, J. Stat. Phys. 85:1-25 (1997).

    Google Scholar 

  10. D. Ruelle, Entropy production in nonequilibrium statistical mechanics, Commun. Math. Phys. 189:365-371 (1997).

    Google Scholar 

  11. D. Ruelle, Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics, J. Stat. Phys. 95:393-468 (1999).

    Google Scholar 

  12. R. C. Tolman, The Principles of Statistical Mechanics (Oxford at the Clarendon Press, 1938), p. 102.

Download references

Author information

Authors and Affiliations

  1. Instituut voor Theoretische Fysica, K.U.Leuven, B-3001, Leuven, Belgium

    Christian Maes & Frank Redig

  2. Onderzoeksleider FWO, Flanders

    Christian Maes

  3. Post-doctoraal Onderzoeker FWO, Flanders

    Frank Redig

Authors
  1. Christian Maes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Frank Redig
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maes, C., Redig, F. Positivity of Entropy Production. Journal of Statistical Physics 101, 3–15 (2000). https://doi.org/10.1023/A:1026434726635

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026434726635

Search

Navigation