Skip to main content
Log in

Nonlinear order-parameter relaxation in the nonlinearσ-model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

An equation of motion for the order parameter of a relaxational nonlinearσ-model is derived by renormalization-group considerations ind=2+ε dimensions. The result is then used to describe the nonlinear relaxation of the order parameter after switching off an initial symmetry-breaking field below the critical temperature.

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. Bausch, R., Janssen, H.K.: Z. Physik B25, 275 (1976) Bausch, R., Eisenriegler, E., Janssen, H.K.: Z. Physik B39, 179 (1979)

    Google Scholar 

  2. Migdal, A.A.: Zh. Eksp. Teor. Fiz.69, 1457 (1975) Polyakov, A.M.: Phys. Lett.59 B, 79 (1975) Brézin, E., Zinn-Justin, J.: Phys. Rev. Lett.36, 691 (1976), and Phys. Rev. B14, 3110 (1976)

    Google Scholar 

  3. De Dominicis, C., Ma, S.K., Peliti, L.: Phys. Rev. B15, 4313 (1977)

    Google Scholar 

  4. Sasvari, L., Schwabl, F., Szepfalusy, P.: Physica81A, 108 (1975)

    Google Scholar 

  5. Martin, P.C., Siggia, E.D., Rose, H.A.: Phys. Rev. A8, 423 (1973) Janssen, H.K.: Z. Physik B23, 377 (1976)

    Google Scholar 

  6. De Dominicis, C.: J. Phys. (Paris)37, Colloque C-247 (1976)

  7. t'Hooft, G., Veltman, M.: Nucl. Phys. B44, 189 (1972) t'Hooft, G.: Nucl. Phys. B61, 455 (1973) see also Ref. 8

    Google Scholar 

  8. Amit, D.: Field Theory, the Renormalization Group, and Critical Phenomena. Maidenhead: Mc Graw Hill 1978

    Google Scholar 

  9. Hikami, S., Brezin, E.: J. Phys. A11, 1141 (1978)

    Google Scholar 

  10. Brézin, E., Zinn-Justin, J., Le Guillou, J.C.: Phys. Rev. D14, 2615 (1976)

    Google Scholar 

  11. Bausch, R., Janssen, H.K., Wagner, H.: Z. Physik B24, 113 (1976)

    Google Scholar 

  12. Nelson, D.R., Pelcovits, R.A.: Phys. Rev. B16, 2191 (1977)

    Google Scholar 

  13. Szepfalusy, P.: In: Dynamical Critical Phenomena and Related Topics, Proceedings, Geneva 1979, Enz, C.P. (ed.)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bausch, R., Janssen, H.K. & Yamazaki, Y. Nonlinear order-parameter relaxation in the nonlinearσ-model. Z Physik B 37, 163–169 (1980). https://doi.org/10.1007/BF01365372

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01365372

Keywords

Navigation