Skip to main content

Fluctuations and Interactions Between Membranes

  • Conference paper
Physics of Amphiphilic Layers

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 21))

  • 359 Accesses

Abstract

The influence of fluctuations due to thermal excitations on the interactions between membranes is reviewed. The complex interplay between the bare interactions (for example Van der Waals, hydration or electrostatic forces) and the membranes’ thermal fluctuations is analyzed within a linear functional renormalization group (FRG), for membranes with a significant surface tension and for membranes with a vanishing surface tension and non-zero curvature rigidity.

In all cases, the fluctuations erase the details of the interactions which characterize each particular system and produce universal behaviour.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. EKWALL “Composition, Properties and Structures of Liquid Crystalline Phases in Systems of Amphiphilic Compounds”. in Advances in Liquid Crystals. Vol. 1, p.1, ed. G.H. BROWN (1975). D. ROUX, PhD Thesis ( 1984 ), Bordeaux.See for a review, “ Physics of Amphiphiles: Micelles, Vesicles and Microemulsions”. North—Holland, ed. DEGIORGIO V. and CORTI M. (1985)

    Google Scholar 

  2. E.BREZIN, B.I.HALPERIN and S.LEIBLER, Phys.Rev.Lett.5O,1387(1983); J.Physique,44,775(I984)

    Article  Google Scholar 

  3. V.L.POKROVSKY and L.TAPALOV, “Theory of incommensurate crystals”, Soviet Scientific Review, Physics, Vol.1(1984).

    Google Scholar 

  4. J.VILLAIN, in “Scaling Phenomena in Disordered Systems”, ed. by R.Pynn arid A. Skjeltorp, Plenum Publishing Corporation (1985)

    Google Scholar 

  5. W. HELFRICH, Z. Naturforsh,33a,305(1978).

    CAS  Google Scholar 

  6. M.E. FISHER and D.S. FISHER, Phys. Rev. B25, 3192 (1982).

    Google Scholar 

  7. D. SORNETTE and N. OSTROWSKY, J. Physique, 45, 265 (1984)

    Google Scholar 

  8. D. SORNETTE, Euro. Phys. Lett.2,715(1986)

    Article  CAS  Google Scholar 

  9. J.BRICMONT, A.EL MELLOUKI and J.FROHLICH,J.Stat.Phys.42,743(1986)

    Google Scholar 

  10. D.SORNETTE and N. OSTROWSKY,Chem.Scr.,25,108(1985) and J.Chem.Phys. 84,4062(1986)

    Google Scholar 

  11. E.A.EYANS and Y.A.PARSEOIAN, Proc.Natl.Acad.Sci.USA,83,7132,(1986)

    Google Scholar 

  12. L.J.LIS,M.McALLISTER,N.FULLER,R.P.RAND and V.A. PARSEC IAN, Biophys.J., 37,657(1982).

    Google Scholar 

  13. R.LIPOWSKY and S.LEIBLER, Phys.Rev.Lett.56,2541(1986)

    Article  CAS  Google Scholar 

  14. D. SORNETTE, “Tricritical behaviour in lamellar phases”, to appear

    Google Scholar 

  15. D.SORNETTE and N. OSTROWSKY, “Renormalized interactions between membranes”, to be published in the Proceedings of “The international symposium on surfactants in solution”, New Dehli,August 1986,ed.K.L.MITTAL

    Google Scholar 

  16. D.S. FISHER and D.A. HUSE, Phys. Rev. B32, 247 (1985)

    Google Scholar 

  17. R.LIPOWSKY and M.E.FISHER, Phys.Rev.Lett.57, 241 1 (1986)

    Google Scholar 

  18. J.VILLAIN, in Proceedings of the summer school Beg—Rohu,June 1985, Edition de Physique, ed. C.00DRECHE

    Google Scholar 

  19. D. ROUX, PhD Thesis (1984), Bordeaux.

    Google Scholar 

  20. J. ISRAELACHVILI and D.SORNETTE, J.Physique,46,2125(1985)

    Article  Google Scholar 

  21. S.NIR, Progress.Surf.Sci.8,1(1976).

    Google Scholar 

  22. W.HARBICH and W. HELFRICH, Chem.Phys.Lipids,36,39(1984).

    Google Scholar 

  23. F.C.LARCHE,J.APPEL and O.PORTE, Phys.Rev.Lett. 56, 1700 (1986).

    Google Scholar 

  24. F.C.LARCHE,J.APPEL and O.PORTE, Phys.Rev.Lett. 56, 1700 (1986).

    Google Scholar 

  25. W. HELFRICH, “Amphiphilic mesophases made of defects”, Les Houches,XXXV,R.BAL IAN(1980).

    Google Scholar 

  26. D.S. FISHER, Phys. Rev.Lett. 56,1964(1986).

    Google Scholar 

  27. R.LIPOWSKY and M.E.FISHER, Phys.Rev.Lett.56,472(1986)

    Google Scholar 

  28. W.HELFRICH, J. Physique, 46 1263 (1985) and L.PELITI and S.LEIBLER, Phys. Rev.Lett. 54,1960(1985).D.SORNETTE, Thèse d’état, Nice(1985)

    Google Scholar 

  29. A.MARITAN and A.STELLA, Phys. Rev.Lett. 53,123(1984).

    Article  Google Scholar 

  30. Y.KANTOR, M.KARDAR and D.R.NELSON, Phys. Rev.Lett. 57,791(1986).

    Article  CAS  Google Scholar 

  31. A.SAFRAN, D.ROUX, M.CATES and D.ANDELMAN, Phys. Rev.Lett.57,491(1986)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sornette, D. (1987). Fluctuations and Interactions Between Membranes. In: Meunier, J., Langevin, D., Boccara, N. (eds) Physics of Amphiphilic Layers. Springer Proceedings in Physics, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83202-4_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83202-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83204-8

  • Online ISBN: 978-3-642-83202-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics