Skip to main content
SpringerLink
Log in

The lamellar and sponge phases of dilute surfactant systems: Structures and defects at equilibrium and under shear

  • Liquid Crystals And Other Soft Materials
  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We report on the physical properties of swollen solutions of the amphiphilic molecules of cetylpyridinium chloride and hexanol in brine. A remarkable characteristic of this system is the existence of a crossover between dilute and less dilute solutions, in the lamellar phase and the sponge phase, with some interesting consequences for the theory of membranes.

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. I Nastishin, E Lambert and P Boltenhagen, Comptes-Rendus. Acad. Sci. Paris IIb. 321, 205 (1995)

    Google Scholar 

  2. P Boltenhagen, O D Lavrentovich and M Kleman, J. Phys. II France 1, 1233 (1991)

    Article  Google Scholar 

  3. P Boltenhagen, M Kleman and O D Lavrentovich, J. Phys. II France 4, 1439 (1994)

    Article  Google Scholar 

  4. G Friedel, Ann. Phys. France 2, 273 (1922)

    Google Scholar 

  5. C Meyer, S Asnacios, C Bourgaux and M Kleman, ILCC 17, Strasbourg 1998, in press

  6. O Diat and D Roux, J. Phys. II France 3, 9 (1993)

    Article  Google Scholar 

  7. T Gulik-Krzywicki, J C Dedieu, D Roux C Degert and R Laversanne, Langmuir 12, 4668 (1996)

    Article  Google Scholar 

  8. H F Mahjoub, K M McGrath and M Kleman, Langmuir 12, 3131 (1996)

    Article  Google Scholar 

  9. H F Mahjoub, C Bourgaux, K McGrath J F Tassin and M Kleman, Mat. Res. Soc. Symp. Proc. 464, 145 (1997)

    Google Scholar 

  10. H F Mahjoub, C Bourgaux, P Sergot and M Kleman, Phys. Rev. Lett. 81, 2076 (1998)

    Article  ADS  Google Scholar 

  11. C Bourgaux, private communication

  12. For a review on fluctuations see e.g. Statistical Mechanics of Membranes and Surfaces, edited by D Nelson et al (World Scientific, Singapore, 1989). The main results of the renormalization group approach in the calculation of κ and \(\bar \kappa \) have recently been challenged by Helfrich, Eur. Phys. J. B1, 481 (1998)

    Google Scholar 

  13. P Boltenhagen, O D Lavrentovich and M Kleman, Phys. Rev. A46, R1743 (1992)

  14. P Snabre and G Porte, Europhys. Lett. 13, 642 (1990)

    ADS  Google Scholar 

  15. O Diat and D Roux Langmuir 11, 1392 (1995)

    Article  Google Scholar 

  16. H Hoffmann, S Hoffmann, A Rauscher and J Kalus, Progr. Coll. Polym. Sci. 84, 24 (1991)

    Article  Google Scholar 

  17. J Yamamoto and H Tanaka, Phys. Rev. Lett. 77, 4390 (1996)

    Article  ADS  Google Scholar 

  18. H F Mahjoub, J F Tassin and M Kleman, in preparation

  19. The results which follow belong to H F Mahjoub, PhD Thesis (Universite Paris 6, 1998) (see ref. [14])

  20. G Porte, M Delsanti, I Billard, M Skouri, J Appell, J Marignan, and F J Debeauvais, J. Phys. II France 1, 1101 (1991)

    Article  Google Scholar 

  21. G Waton and G Porte, J. Phys. II France 4, 5152 (1993)

    Google Scholar 

  22. S T Milner, M E Cates and D Roux, J. Phys. (France) 51, 2629 (1990)

    Google Scholar 

  23. L Golubovic, Phys. Rev. E50, 2419 (1994)

    ADS  Google Scholar 

  24. D C Morse, Phys. Rev. E50, 2423 (1994)

    ADS  Google Scholar 

  25. G Porte, J Appell, P Bassereau and J J Marignan, J Phys. (France) 50, 285 (1989)

    Google Scholar 

  26. S P Timoshenko, Theory of Elastic Stability (McGraw- Hill Book Cy, New York, 1961)

    Google Scholar 

  27. We adopt the notation used by liquid crystals people, viz. ξ⊥ for lengths measured parallel the surface of the membrane, ξ‖ for lengths measured perpendicular to the membrane.

  28. W Helfrich and R M Servuss, Il Nuovo Cimento. 3D, 137 (1984)

    Article  ADS  Google Scholar 

  29. B D Coleman and M Kleman, in preparation

  30. Also called the projected area, because this theoretical approach is valid for quasi-planar surfaces

  31. P G De Gennes and C Taupin J. Phys. Chem. 86, 2294 (1982)

    Article  Google Scholar 

  32. W Helfrich, Z Natur. 33A, 305 (1978)

    ADS  Google Scholar 

  33. L Peliti and S Leibler, Phys. Rev. Lett. 54, 1690 (1985)

    Article  ADS  Google Scholar 

  34. L Golubovic and T C Lubensky, Phys. Rev. A41, 4343 (1990)

    ADS  Google Scholar 

  35. F David, in Statistical Mechanics of Membranes and Surfaces edited by D Nelson et al. (World Scientific, Singapore, 1989) p. 157

    Google Scholar 

  36. P Boltenhagen, M Kleman and O D Lavrentovich, in Soft Order in Physical Systems edited by Y Rabin and R Bruinsma (Plenum Press, New York, 1994) p. 5

    Google Scholar 

  37. C Blanc, private communication

  38. M Kleman, Philos. Mag. 34, 79 (1976)

    Article  ADS  Google Scholar 

  39. M E Cates, D Roux, D Andelman, S T Milner and S A Safran, Europhys. Lett. 5, 733 (1988)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Mineralogie-Cristallographie (UMR CNRS 7590), Universites Paris VI et Paris VII, case 115, 4 place Jussieu, 75252, PARIS Cedex 05, France

    Maurice Kleman

Authors
  1. Maurice Kleman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kleman, M. The lamellar and sponge phases of dilute surfactant systems: Structures and defects at equilibrium and under shear. Pramana - J Phys 53, 107–119 (1999). https://doi.org/10.1007/s12043-999-0143-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12043-999-0143-3

Keywords

PACS Nos

Search

Navigation