Abstract
Two scenarios for dynamical phase transitions from ergodic to non ergodic dynamics as described by the self consistent current relaxation theory are examined and exemplified by numerical results. The first deals with endpoints of type B transition lines and its signature is logarithmic decay in time or (1/f)-noise for the spectra. The second deals with crossings of phase transition lines and it is characterized by the known relaxation pattern of one transition accompanied by strong precursors following the pattern of another transition. The possible relevance of the results for a description of liquid glass transitions and spin glass transitions is indicated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Götze, W.: Solid State Comm.27, 1393 (1978); In: Recent developments in condensed matter physics. Devreese, J. (ed.), Vol. I, p. 133. New York: Plenum Press, 1981
Leutheusser, E.: Phys. Rev. A29, 2765 (1984)
Bengtzelius, U., Götze, W., Sjölander, A.: J. Phys. C17, 5915 (1984)
Götze, W., Sjögren, L.: J. Phys. C17, 5759 (1984)
Götze, W.: Z. Phys. B — Condensed Matter56, 139 (1984)
Götze, W.: Z. Phys. B — Condensed Matter60, 195 (1985). In: Amorphous and liquid materials. Lüscher, E., et al. (eds.), p. 34, Dordrecht: Martinus Nijhoff 1987
Sjögren, L.: Phys. Rev. A33, 1254 (1986)
Bengtzelius, U.: Phys. Rev. A34, 5059 (1986)
DeRaedt, H., Götze, W.: J. Phys. C19, 2607 (1986)
Krieger, U., Bosse, J.: In: Amorphous and liquid materials. Lüscher, E. et al. (ed.), p. 139. Dordrecht: Martinus Nijhoff 1987; J. Phys. C19, L609 (1986)
Götze, W., Sjögren, L.: J. Phys. C20, 879 (1987)
Götze, W., Sjögren, L.: Z. Phys. B — Condensed Matter65, 415 (1987)
Götze, W., Sjögren, L.: J. Phys. C (in press)
Arnold, V.I.: Catastrophe theory. 2nd Edn. Berlin, Heidelberg, New York: Springer 1986
Mezei, F., Murani, A.P.: J. Mag. Mag. Mat.14, 211 (1979)
Mezei, F., Knaak, W., Farago, B.: Phys. Rev. Lett.58, 571 (1987); Phys. Scr. T19, 363 (1987)
Binder, K., Young, A.P.: Rev. Mod. Phys.58, 811 (1986)
Heffner, R.H., Leon, M., MacLaughlin, D.E.: Hyp. Interact.18, 457 (1984)
Wong, J., Angell, C.A.: Glass: Structure by spectroscopy. New York, Basel: Marcel Dekker: 1976; Brawer, S.: Relaxation in viscous liquids and glasses. Columbus, Ohio: The American Ceramics Society 1985
Mezei, F.: J. Mag. Mag. Mat.31, 1327 (1983); Europhys. News17, 129 (1986)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Götze, W., Haussmann, R. Further phase transition scenarios described by the self consistent current relaxation theory. Z. Physik B - Condensed Matter 72, 403–412 (1988). https://doi.org/10.1007/BF01312829
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01312829