Nonlinear critical slowing down of the one-component Ginzburg-Landau field

@article{Bausch1979NonlinearCS,
  title={Nonlinear critical slowing down of the one-component Ginzburg-Landau field},
  author={Rainer Bausch and Erich Eisenriegler and H. K. Janssen},
  journal={Zeitschrift f{\"u}r Physik B Condensed Matter},
  year={1979},
  volume={36},
  pages={179-186}
}
We discuss nonlinear relaxation processes of the one-component Ginzburg-Landau field that occur near the critical point after a sudden change in temperature or in the symmetry breaking field. A universal form of the equation of motion for the order parameter at the one-loop level is derived and integrated for several cases of interest. From the results some characteristic universal amplitude ratios can be extracted.