Abstract
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.
Similar content being viewed by others
References
Suzuki, M.: Intern. J. Magnetism1, 123 (1971)
Rácz, Z.: Phys. Rev. B13, 263 (1976)
Fisher, M., Rácz, Z.: Phys. Rev. B13, 5039 (1976)
Binder, K., Stauffer, D., Müller-Krumbhaar, H.: Phys. Rev. B12, 5261 (1975) Kretschmer, R., Binder, K., Stauffer, D.: J. Statistical Physics15, 267 (1976)
Collins, M.R., Teh, H.C.: Phys. Rev. Letters30, 781 (1973)
Janssen, H.K.: Z. Physik B23, 377 (1976) De Dominicis, C.: J. Phys. (Paris) C1, 247 (1976)
Bausch, R., Janssen, H.K.: Z. Physik B25, 275 (1976) Yamada, T., Ohta, T., Kawasaki, K.: Journal of Statistical Physics16, 281 (1977)
Martin, P.C., Siggia, E.D., Rose, H.A.: Phys. Rev. A8, 423 (1973)
'tHooft, G.: Nuclear Physics B61, 455 (1973); see also Lawrie, I.D.: J. Phys. A9, 961 (1976) Amit, D.: Field Theory, the Renormalization Group, and Critical Phenomena, Maidenhead: McGraw Hill 1978
Nelson, D.R.: Phys. Rev. B11, 3504 (1975)
Beers, J.C., Guttmann, L.: Phys. Rev. B9, 3941 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bausch, R., Eisenriegler, E. & Janssen, H.K. Nonlinear critical slowing down of the one-component Ginzburg-Landau field. Z Physik B 36, 179–186 (1979). https://doi.org/10.1007/BF01320218
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01320218