Nonergodic behaviour and phonon localization at structural phase transitions

  • N. M. Plakida
Invited Talks I. Foundations
Part of the Lecture Notes in Physics book series (LNP, volume 285)


A dynamical ergodic-nonergodic phase transition as a result of the localization of order-parameter fluctuations (soft phonons freezing) at structural phase transitions is discussed. Connection between the nonergodic behaviour and appearance of precursor clusters and central peak phenomena is considered.


Central Peak Structural Phase Transition Precursor Cluster Localization Constant Nato Advance Study Institute 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A.D.Bruce, R.A.Cowley. Structural Phase Transitions. Taylor and Francis, London, 1981.Google Scholar
  2. 2.
    K.A.Milller. In: Statics and Dynamics of Nonlinear Systems. Springer, Berlin, 1983, p. 68.Google Scholar
  3. 3.
    P.D.Beale, S.Sarker, J.A.Krumhansl. Phys.Rev. B24, 266 (1981).Google Scholar
  4. 4.
    G.A.Barker (jr), A.R.Bishop. J.Phys. A15, L201 (1982).Google Scholar
  5. 5.
    J.A.Krumhansl, J.R.Schrieffer. Phys.Rev. B11, 3535 (1975).Google Scholar
  6. 6.
    V.L.Aksenov, A.Yu.Didyk. Phys.Lett., A105, 368 (1984).Google Scholar
  7. 7.
    R.Kubo. J.Phys.Soc.Japan, 12, 570 (1957).Google Scholar
  8. 8.
    D.N.Zubarev. Nonequilibrium Statistical Thermodynamics, Plenum, New York, 1974, § 16Google Scholar
  9. 9.
    M.Suzuki. Physica 51, 277 (1971).CrossRefGoogle Scholar
  10. 10.
    V.L.Aksenov, M.Bobet, N.M.Plakida, J.Schreiber. J.Phys. C, 1987.Google Scholar
  11. 11.
    J.Schreiber. In: Proc. of Int.Seminar on Localization, Johnsbach, Teubner-Texte, Leipzig, 1983, p. 138; In: Proc. 5th Int.Seminar on Magnetism, Wissenschaftliche Zeitschrift der HfV, Dresden, 1984, p. 31.Google Scholar
  12. 12.
    J.Feder. Solid St.Comm. 9, 2021 (1971).CrossRefGoogle Scholar
  13. 13.
    H.Thomas. In: Anharmonic Lattices, Structural Transitions and Melting. Noordhoff, Leiden, 1974, p. 231.Google Scholar
  14. 14.
    W.Götze. Solid St. Comm. 27, 1393 (1978); J.Phys. C12, 1279 (1979).CrossRefGoogle Scholar
  15. 15.
    W.Götze. Zeit.Phys. B56, 139 (1984); In: Lectures delivered at Nato Advanced Study Institute on Amorphous and Liquid Materials (Italy, 1985). (Ed. M.Nijhoff) Dordrecht, 1986.CrossRefGoogle Scholar
  16. 16.
    V.L.Aksenov, M.Bobet, N.M.Plakida, J.Schreiber. JINR, P17-86-299, Dubna, 1986.Google Scholar
  17. 17.
    V.L.Aksenos, M.Bobet, N.M.Plakida. Ferroelectrics, 1986.Google Scholar
  18. 18.
    S.L.Ginzburg. JETP 90, 754 (1986).Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • N. M. Plakida
    • 1
  1. 1.Joint Institute for Nuclear ResearchDubnaUSSR

Personalised recommendations