Skip to main content
Log in

Field theory of long time behaviour in driven diffusive systems

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We present a renormalisation group study for the long time behaviour of a diffusive system with a single conserved density which is subjected to an external driving force. In the asymptotic long wavelength limit the system approaches an infrared stable fixed point where detailed balance is satisfied. We obtain the exact scaling form of the density correlation function. In one dimension, the corresponding universal amplitude agrees excellently with a recent Monte Carlo simulation.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Beijeren, H. van, Kutner, R., Spohn, H.: Phys. Rev. Lett.54, 2026 (1985)

    Google Scholar 

  2. Kawasaki, K.: Ann. Phys. (NY)61, 1 (1970)

    Google Scholar 

  3. Kawasaki, K.: In: Critical phenomena. Proceedings of the International School of Physics, Enrico Fermi, Course L1. Green, M.S. (ed.). New York: Academic Press 1971

    Google Scholar 

  4. Kadanoff, L.P., Swift, J.: Phys. Rev.166, 89 (1968)

    Google Scholar 

  5. Brézin, E., le Guillou, J.C., Zinn-Justin, J.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. VI. New York: Academic Press 1976

    Google Scholar 

  6. Amit, D.J.: Field theory, the renormalization group and critical phenomena. New York: McGraw Hill 1978

    Google Scholar 

  7. Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)

    Google Scholar 

  8. Forster, D., Nelson, D.R., Stephen, M.J.: Phys. Rev. A16, 732 (1977)

    Google Scholar 

  9. De Dominicis, C.: J. Phys. C37, 247 (1976)

    Google Scholar 

  10. Janssen, H.K.: Z. Phys. B-Condensed Matter and Quanta23, 377 (1976)

    Google Scholar 

  11. Janssen, H.K.: Dynamical critical phenomena and related topics, Proceedings Geneva 1979. In: Lecture Notes in Physics Vol. 104. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  12. Martin, P.C., Siggia, E.D., Rose, H.H.: Phys. Rev. A8, 423 (1973)

    Google Scholar 

  13. Bausch, R., Janssen, H.K., Wagner, H.: Z. Phys. B-Condensed Matter and Quanta24, 113 (1976)

    Google Scholar 

  14. De Dominicis, C., Peliti, L.: Phys. Rev. B18, 353 (1978)

    Google Scholar 

  15. Dohm, V.: Z. Phys. B-Condensed Matter60, 61 (1985)

    Google Scholar 

  16. Gunton, J.D.: Dynamical Critical Phenomena and Related Topics, Proceedings Geneva 1979. In: Lecture Notes in Physics. Vol. 104. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Janssen, H.K., Schmittmann, B. Field theory of long time behaviour in driven diffusive systems. Z. Physik B - Condensed Matter 63, 517–520 (1986). https://doi.org/10.1007/BF01726201

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01726201

Keywords

Navigation