Skip to main content
Log in

Critical dynamics in the presence of relaxing defects

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The influence of defects coupling linearly to the order parameter on the critical behaviour of structural phase transitions is studied. A continuum model for the statics and dynamics is introduced and is investigated by the renormalization group theory. If the defects are slow a central peak is found, the characteristic width of which is determined by the defects. Concerning the critical behaviour the dynamical model belongs to the same universality class as the one studied previously by Grinstein, MA, and Mazenko. The concentration dependence of the central peak response is discussed inside and outside the critical region.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brout, R.: Phys. Rev.115, 824 (1959)

    Google Scholar 

  2. Fisher, M.E.: Phys. Rev.176, 257 (1968)

    Google Scholar 

  3. Lubensky, T.C.: Phys. Rev. B11, 3573 (1975)

    Google Scholar 

  4. Khmelnitskii, D.E.: Zh. Eksp. Teor. Fiz.68, 1960 (1975); Sov. Phys. JETP41, 981 (1976)

    Google Scholar 

  5. Grinstein, G., Luther, L.: Phys. Rev. B13, 1329 (1976)

    Google Scholar 

  6. Jayaprakash, C., Katz, H.J.: Phys. Rev. B16, 3987 (1977)

    Google Scholar 

  7. Bak, P.: Phys. Rev. B14, 3980 (1976)

    Google Scholar 

  8. Grinstein, G., Ma, S., Mazenko, G.F.: Phys. Rev. B15, 258 (1977)

    Google Scholar 

  9. Krey, U.: Z. Phys. B — Condensed Matter26, 355 (1977)

    Google Scholar 

  10. Krey, U.: Z. Phys. B — Condensed Matter27, 325 (1977)

    Google Scholar 

  11. Riste, T., Samuelsen, E.J., Otnes, K., Feder, J.: Solid State Commun.9, 1455 (1971)

    Google Scholar 

  12. Shapiro, S.M., Axe, J.D., Shirane, G., Riste, T.: Phys. Rev. B6, 4332 (1972)

    Google Scholar 

  13. Kjems, J.K., Shirane, G., Müller, K.A., Scheel, H.J.: Phys. Rev. B8, 1119 (1973)

    Google Scholar 

  14. Denoyer, F., Lambert, M., Comes, A., Currat, R.: Solid State Commun.18, 441 (1976)

    Google Scholar 

  15. Cowley, R.A., Axe, J.D., Iizumi, M.: Phys. Rev. Lett.36, 806 (1976)

    Google Scholar 

  16. Fleury, P.A., Lyons, K.B.: Phys. Rev. Lett.37, 1088 (1976)

    Google Scholar 

  17. Courtens, E.: Phys. Rev. Lett.41, 1171 (1978)

    Google Scholar 

  18. Yagi, T., Tanaka, H., Tatsuzki, I.: Phys. Rev. Lett.38, 609 (1977)

    Google Scholar 

  19. Müller, K.A.: In: Dynamical critical phenomena and Related Topics. Enz, C.P. (ed.), p. 210. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  20. Töpler, J., Alefeld, B., Heidemann, A.: J. Phys. C: Solid State Phys.10, 635 (1977)

    Google Scholar 

  21. Mezei, F., Hayter, J.: EPS Conference, Budapest 1974 (unpublished)

  22. Darlington, C.N.W., O'Connor, D.A.: J. Phys. C9, 3561 (1976)

    Google Scholar 

  23. Hanisch, K., Drosg, M.: Phys. Lett.58A, 415 (1976)

    Google Scholar 

  24. Lyons, K.B., Fleury, P.A.: Phys. Rev. B17, 2403: Phys. Rev. Lett.37, 161 (1976)

    Google Scholar 

  25. Durvasula, L.N., Gammon, R.W.: Phys. Rev. Lett.38, 1081 (1977)

    Google Scholar 

  26. Hastings, J.B., Shapiro, S.M., Frazer, B.C.: Phys. Rev. Lett.40, 237 (1978)

    Google Scholar 

  27. Wagner, D., Bäuerle, D., Schwabl, F., Dorner, B., Kraxenberger, H.: Z. Phys. B — Condensed Matter37, 317 (1980)

    Google Scholar 

  28. Schwabl, F.: Z. Phys.254, 57 (1972); Phys. Rev. Lett.28, 500 (1972)

    Google Scholar 

  29. Cowley, R.A.: J. Phys. Soc. Jpn. Suppl.28, 239 (1974)

    Google Scholar 

  30. Silberglitt, R.: Solid State Commun.11, 247 (1972)

    Google Scholar 

  31. Enz, C.P.: Phys. Rev. B6, 4695 (1972)

    Google Scholar 

  32. Schwabl, F.: Solid State Commun.13, 181 (1973); Ferroelectrics7, 395 (1974)

    Google Scholar 

  33. Murata, K.K.: Phys. Rev. B11, 462 (1975)

    Google Scholar 

  34. Axe, J., Shapiro, S.M., Shriane, G., Riste, T.: In: Anharmonic lattices, structural transitions and melting. Riste, T. (ed.), p. 23. Leiden: Noordhoff 1974

    Google Scholar 

  35. Schwabl, F.: In: Anharmonic lattices, structural transitions and melting. Riste, T. (ed.), p. 87. Leiden: Noordhoff 1974

    Google Scholar 

  36. Folk, R., Schwabl, F.: Solid State Commun.15, 937 (1974)

    Google Scholar 

  37. Schwabl, F.: Tagungsband d. Arbeitstagung Ferroelektrizität, Windsch, W. (ed.), p. 47. Karl Marx Univ. Leipzig 1975

  38. Halperin, B.I., Varma, C.M.: Phys. Rev. B14, 4030 (1976)

    Google Scholar 

  39. Schmidt, H., Schwabl, F.: Phys. Lett.61A, 476 (1977), and in: Proceedings of the International Conference on Lattice Dynamics, Balkanski, M. (ed.), p. 748. Paris: Flammarion Sc 1977, and Z. Phys. B — Condensed Matter30, 197 (1978)

    Google Scholar 

  40. Höck, K.H., Thomas, H.: Z. Phys. B — Condensed Matter27, 267 (1977)

    Google Scholar 

  41. Krumhansl, J.A., Schrieffer, J.R.: Phys. Rev. B11, 3535 (1975)

    Google Scholar 

  42. Aubry, S.: J. Chem. Phys.62, 3217 (1975);64, 3392 (1976); Schneider, T., Stoll, E.: Phys. Rev. Lett.31, 125 (1975); Phys Rev. B13, 1216 (1978)

    Google Scholar 

  43. Bruce, A.D., Schneider, T., Stoll, E.: Phys. Rev. Lett.43, 1284 (1979), Bruce, A.D.: J. Phys. C. Solid State14, 3667 (1981)

    Google Scholar 

  44. Halperin, B.I., Hohenberg, P.C., Ma, S.: Phys. Rev. B10, 139 (1974)

    Google Scholar 

  45. Achiam, Y., Imry, Y.: Phys. Rev. B12, 2768 (1975)

    Google Scholar 

  46. Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)

    Google Scholar 

  47. Halperin, B.I., Hohenberg, P.C., Ma, S.: Phys. Rev. B13, 4119 (1976)

    Google Scholar 

  48. Meissner, G., Menyhárd, N., Szépfalusy, P.: (to be published)

  49. Aharony, A.: Phys. Rev. B12, 1038 (1975)

    Google Scholar 

  50. Pelcovits, R.A.: Phys. Rev. B19, 465 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sasvári, L., Schwabl, F. Critical dynamics in the presence of relaxing defects. Z. Physik B - Condensed Matter 46, 269–283 (1982). https://doi.org/10.1007/BF01360304

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360304

Keywords

Navigation