Skip to main content
Log in

Lyapounov function and stationary probability distributions

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

It is shown that the stationary probability distributions of master equations in the leading order of the system-size are the Lyapounov functions of the corresponding kinetic equations and may be candidates of the potentials of the systems far from equilibrium.

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. Nicolis, G., Turner, J.W.: Physica 89A, 326 (1977)

    Google Scholar 

  2. Nicolis, G., Prigogine, I.: Self-organization in non-equilibrium systems. New York: Wiley 1977

    Google Scholar 

  3. Van Kampen, N.G.: Adv. Chem. Phys.34, 245 (1976)

    Google Scholar 

  4. Kramers, H.A.: Physica (Utrecht)7, 284 (1940)

    Google Scholar 

  5. Moyal, E.: J.R. Stat. Soc. London Ser. B11, 150 (1949)

    Google Scholar 

  6. Hu, G.: Physica132A, 586 (1985)

    Google Scholar 

  7. Risken, H.: The Fokker-Planck equation. In: Springer Series in Synergetics. Vol. 18. Berlin, Heidelberg, New York: Springer-Verlag 1984

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gang, H. Lyapounov function and stationary probability distributions. Z. Physik B - Condensed Matter 65, 103–106 (1986). https://doi.org/10.1007/BF01308404

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308404

Keywords

Navigation