Abstract
The behaviour of correlation functions of a complex fieldW close to thek=0 hard mode transition of a non-equilibrium system are investigated using the dynamic renormalization group. The Langevin equation forW is closely related to then=2 time-dependent Ginzburg-Landau equation, but in this case one finds two relevant scaling fields. This leads to a behavior which is more closely related to that expected at tricritical points.
Similar content being viewed by others
References
Haken, H.: Rev. Mod. Phys.47, 67 (1975)
Haken, H.: Synergetics, An Introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology, Berlin-Heidelberg-New York: Springer 1977
Wilson, K.G., Kogut, J.: Phys. Rep.12C, 75 (1974)
Ma, S.K.: Modern Theory of Critical Phenomena, New York: Benjamin 1976
Pfeuty, P., Toulouse, G.: Introduction to the Renormalization Group and to Critical Phenomena, New York: Interscience 1977
Dewel, G., Walgraef, D., Brockmans, P.: Z. Physik B28, 235 (1977)
Forster, D., Nelson, D.R., Stephen, M.J.: Phys. Rev. Lett.36, 867 (1976)
Glansdorff, P., Prigogine, I.: Thermodynamic Theory of Structure, Stability and Fluctuations, New York: Interscience 1971
Tomita, K., Tomita, H.: Prog. Theor. Phys.51, 1731 (1974) Tomita, K., Ohta, T., Tomita, H.: Prog. Theor. Phys.52, 1744 (1974)
Kuramoto, Y., Tsuzuki, T.: Prog. Theor. Phys.54, 687 (1975)
Kuramoto, Y., Tsuzuki, T.: Prog. Theor. Phys.55, 356 (1976)
Kuramoto, Y., Yamada, T.: Prog. Theor. Phys.56, 679 (1976)
Gardiner, C.W.: J. Stat. Phys.15, 451 (1976)
Nitzan, A., Ortoleva, P., Deutch, R., Ross, J.: J. Chem. Phys.61, 1056 (1974)
Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)
Ma, S.K.: Lecture Notes in Physics54, Critical Phenomena, Sitges International School on Statistical Mechanics, Berlin-Heidelberg-New York: Springer 1976
Wegner, F.J.: Lecture Notes in Physics54, Critical Phenomena, Sitges International School on Statistical Mechanics, Berlin-Heidelberg-New York: Springer 1976
Wegner, F.J., Houghton, A.: Phys. Rev. A8, 401 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hentschel, H.G.E. Application of the dynamic renormalization group to non-equilibrium instabilities: Thek=0 hard mode transition. Z Physik B 31, 401–406 (1978). https://doi.org/10.1007/BF01351551
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01351551