Zeitschrift für Physik B Condensed Matter

, Volume 24, Issue 1, pp 113–127

Renormalized field theory of critical dynamics

  • R. Bausch
  • H. K. Janssen
  • H. Wagner
Article

DOI: 10.1007/BF01312880

Cite this article as:
Bausch, R., Janssen, H.K. & Wagner, H. Z Physik B (1976) 24: 113. doi:10.1007/BF01312880

Abstract

We formulate a Gell'Mann-Low-type renormalization group approach to the critical dynamics of stochastic models described by Langevin or Fokker-Planck equations including mode-coupling terms.

Dynamical correlation and response functions are expressed in terms of path integrals, which are investigated by well-known methods of renormalized perturbation theory.

Dynamical scaling laws and relations between static and dynamic critical exponents are derived. The leading temperature-dependence of correlation and response functions is obtained from the Kadanoff-Wilson short-distance expansion. We also consider corrections to dynamic scaling which are due to a finite lattice constant.

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • R. Bausch
    • 1
  • H. K. Janssen
    • 1
  • H. Wagner
    • 1
  1. 1.Institut für FestkörperforschungKernforschungsanlage Jülich GmbHJülich 1Federal Republic of Germany