Skip to main content
SpringerLink
Log in

Behavior of the layer compression modulus as a function of frequency near the nematic-smectic-A and re-entrant nematic-smectic-A phase transitions

  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

A progressive cross-over of the layer compression modulus B from a simple power law behavior to a saturation behavior when the frequency is increased from 1 Hz to \(2 \cdot 10^{3}\) Hz is observed for the first time near the nematic-smectic-A and the re-entrant nematic-smectic-A phase transitions of a mixture of 4-cyano-4’-(n-hexyloxy)biphenyl and 4-cyano-4’-(n-octyloxy)biphenyl (6OCB-8OCB). This result shows that the saturation of B determined by second sound near the nematic-smectic-A phase transition of a similar mixture is dynamic in nature, and cannot be associated with the static saturation effect predicted by the dislocation loop model, as proposed previously.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. See, for example, P.G. de Gennes, J. Prost, in The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993).

  2. P.G. de Gennes, Solid State Commun. 10, 753 (1972); Mol. Cryst. Liq. Cryst. 21, 49 (1973).

    Article  Google Scholar 

  3. B.I. Halperin, T.C. Lubensky, S.K. Ma, Phys. Rev. Lett. 32, 292 (1974).

    Article  Google Scholar 

  4. D.R. Nelson, J. Toner, Phys. Rev. B 24, 363 (1981).

    Article  Google Scholar 

  5. J. Toner, Phys. Rev. B 26, 462 (1982).

    Article  Google Scholar 

  6. B.I. Halperin, T.C. Lubensky, Solid State Commun. 14, 997 (1974); S.G. Dunn, T.C. Lubensky, J. Phys. (Paris) 42, 1201 (1981); T.C. Lubensky, S.G. Dunn, J. Isaacson, Phys. Rev. Lett. 22, 1609 (1981); T.C. Lubensky, A.J. Mc Kane, J. Phys. Lett. 43, L-217 (1982); A.R. Day, T.C. Lubensky, A.J. Mc Kane, Phys. Rev. A 27, 1461 (1983); T.C. Lubensky, J. Chim. Phys. 80, 31 (1983).

    Article  Google Scholar 

  7. T.C. Lubensky, J.H. Chen, Phys. Rev. B 17, 366 (1978).

    Article  Google Scholar 

  8. B.R. Patton, B.S. Andereck, Phys. Rev. Lett. 69, 1556 (1992); B.S. Andereck, B.R. Patton, Phys. Rev. E 49, 1393 (1994).

    Article  Google Scholar 

  9. C. Dasgupta, B.I. Halperin, Phys. Rev. Lett. 47, 1556 (1981); C. Dasgupta, J. Phys. (Paris) 48, 957 (1987).

    Article  Google Scholar 

  10. H. Birecki, R. Schaetzing, F. Rondelez, J.D. Litster, Phys. Rev. Lett. 36, 1376 (1976).

    Article  Google Scholar 

  11. J.D. Litster, J. Als-Nielsen, R.J. Birgeneau, S.S. Dana, D. Davidov, F. Garcia-Golding, M. Kaplan, C.R. Safinya, R. Schaetzing, J. Phys. (Paris), Colloq. 40, C3 339 (1979).

    Google Scholar 

  12. D. Davidov, C.R. Safinya, M. Kaplan, S.S. Dana, R. Schaetzing, R.J. Birgeneau, J.D. Litster, Phys. Rev. B 19, 1657 (1979).

    Article  Google Scholar 

  13. H. Von Känel, J.D. Litster, Phys. Rev. A 23, 3251 (1981).

    Article  Google Scholar 

  14. H.J. Fromm, J. Phys. (Paris) 48, 647 (1987).

    Google Scholar 

  15. M.E. Levis, I. Khan, H. Vithana, A. Baldwin, D.L. Johnson, M.E. Neubert, Phys. Rev. A 38, 3702 (1988).

    Article  Google Scholar 

  16. M.R. Fisch, L.B. Sorensen, P.S. Pershan, Phys. Rev. Lett. 47, 43 (1981).

    Article  Google Scholar 

  17. L. Ricard, J. Prost, J. Phys. (Paris), Colloq. 40, C3 339 (1979); J. Phys. (Paris) 42, 861 (1981).

    Google Scholar 

  18. M.R. Fisch, P.S. Pershan, L.B. Sorensen, Phys. Rev. A 29, 2741 (1984).

    Article  Google Scholar 

  19. M. Benzekri, J.P. Marcerou, H.T. Nguyen, J.C. Rouillon, Phys. Rev. B 41, 9032 (1990).

    Article  Google Scholar 

  20. M.R. Fisch, L.B. Sorensen, P.S. Pershan, Phys. Rev. Lett. 48, 943 (1982).

    Article  Google Scholar 

  21. M. Benzekri, T. Claverie, J.P. Marcerou, J.C. Rouillon, Phys. Rev. Lett. 68, 2480 (1992).

    Article  Google Scholar 

  22. F. Beaubois, T. Claverie, J.P. Marcerou, J.C. Rouillon, H.T. Nguyen, C.W. Garland, H. Haga, Phys. Rev. E 56, 5566 (1997).

    Article  Google Scholar 

  23. P. Martinoty, J.L. Gallani, D. Collin, Phys. Rev. Lett. 81, 144 (1998).

    Article  Google Scholar 

  24. D. Guillon, P.E. Cladis, J. Stamatoff, Phys. Rev. Lett. 41, 1598 (1978).

    Article  Google Scholar 

  25. A.R. Kortan, H.Von Känel, R.J. Birgeneau, J.D. Litster, Phys. Rev. Lett. 47, 1206 (1981).

    Article  Google Scholar 

  26. K. Okano, J. Yamamoto, Jpn. J. Appl. Phys. 29, 1149 (1990).

    Google Scholar 

  27. D. Rogez, D. Collin, P. Martinoty, unpublished results.

  28. P. Sonntag, D. Collin, P. Martinoty, Phys. Rev. Lett. 84, 1950 (2000).

    Article  Google Scholar 

  29. J. Als-Nielsen, J.D. Litster, R.J. Birgeneau, M. Kaplan, C.R. Safinya, A. Lindegaard-Andersen, S. Mathiesen, Phys. Rev. B 22, 312 (1980).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Dynamique des Fluides Complexes, UMR no. 7506, ULP-CNRS, Université Louis Pasteur, 4 rue Blaise Pascal, F-67070, Strasbourg Cedex, France

    D. Rogez, D. Collin & P. Martinoty

Authors
  1. D. Rogez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Collin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. Martinoty
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. Martinoty.

Additional information

PACS:

64.70.Md Transitions in liquid crystals - 64.60.Ht Dynamic critical phenomena - 62.20.Dc Elasticity, elastic constants

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rogez, D., Collin, D. & Martinoty, P. Behavior of the layer compression modulus as a function of frequency near the nematic-smectic-A and re-entrant nematic-smectic-A phase transitions. Eur. Phys. J. E 14, 43–47 (2004). https://doi.org/10.1140/epje/i2004-10004-6

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epje/i2004-10004-6

Keywords

Search

Navigation