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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
E.BREZIN, B.I.HALPERIN and S.LEIBLER, Phys.Rev.Lett.5O,1387(1983); J.Physique,44,775(I984)
V.L.POKROVSKY and L.TAPALOV, “Theory of incommensurate crystals”, Soviet Scientific Review, Physics, Vol.1(1984).
J.VILLAIN, in “Scaling Phenomena in Disordered Systems”, ed. by R.Pynn arid A. Skjeltorp, Plenum Publishing Corporation (1985)
W. HELFRICH, Z. Naturforsh,33a,305(1978).
M.E. FISHER and D.S. FISHER, Phys. Rev. B25, 3192 (1982).
D. SORNETTE and N. OSTROWSKY, J. Physique, 45, 265 (1984)
D. SORNETTE, Euro. Phys. Lett.2,715(1986)
J.BRICMONT, A.EL MELLOUKI and J.FROHLICH,J.Stat.Phys.42,743(1986)
D.SORNETTE and N. OSTROWSKY,Chem.Scr.,25,108(1985) and J.Chem.Phys. 84,4062(1986)
E.A.EYANS and Y.A.PARSEOIAN, Proc.Natl.Acad.Sci.USA,83,7132,(1986)
L.J.LIS,M.McALLISTER,N.FULLER,R.P.RAND and V.A. PARSEC IAN, Biophys.J., 37,657(1982).
R.LIPOWSKY and S.LEIBLER, Phys.Rev.Lett.56,2541(1986)
D. SORNETTE, “Tricritical behaviour in lamellar phases”, to appear
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
D.S. FISHER and D.A. HUSE, Phys. Rev. B32, 247 (1985)
R.LIPOWSKY and M.E.FISHER, Phys.Rev.Lett.57, 241 1 (1986)
J.VILLAIN, in Proceedings of the summer school Beg—Rohu,June 1985, Edition de Physique, ed. C.00DRECHE
D. ROUX, PhD Thesis (1984), Bordeaux.
J. ISRAELACHVILI and D.SORNETTE, J.Physique,46,2125(1985)
S.NIR, Progress.Surf.Sci.8,1(1976).
W.HARBICH and W. HELFRICH, Chem.Phys.Lipids,36,39(1984).
F.C.LARCHE,J.APPEL and O.PORTE, Phys.Rev.Lett. 56, 1700 (1986).
F.C.LARCHE,J.APPEL and O.PORTE, Phys.Rev.Lett. 56, 1700 (1986).
W. HELFRICH, “Amphiphilic mesophases made of defects”, Les Houches,XXXV,R.BAL IAN(1980).
D.S. FISHER, Phys. Rev.Lett. 56,1964(1986).
R.LIPOWSKY and M.E.FISHER, Phys.Rev.Lett.56,472(1986)
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)
A.MARITAN and A.STELLA, Phys. Rev.Lett. 53,123(1984).
Y.KANTOR, M.KARDAR and D.R.NELSON, Phys. Rev.Lett. 57,791(1986).
A.SAFRAN, D.ROUX, M.CATES and D.ANDELMAN, Phys. Rev.Lett.57,491(1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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