The European Physical Journal E

, Volume 4, Issue 1, pp 115–120 | Cite as

Structure factor of a lamellar smectic phase with inclusions

  • P. Sens
  • M.S. Turner


Motivated by numerous X-ray scattering studies of lamellar phases with membrane proteins, amphiphilic peptides, polymers, or other inclusions, we have determined the modifications of the classical Caillé law for a smectic phase as a function of the nature and concentration of inclusions added to it. Besides a fundamental interest on the behavior of fluctuating systems with inclusions, a precise characterization of the action of a given protein on a lipid membrane (anchoring, swelling, stiffening ...) is of direct biological interest and could be probed by way of X-ray measurements. As a first step we consider three different couplings involving local pinching (or swelling), stiffening or curvature of the membrane. In the first two cases we predict that independent inclusions induce a simple renormalization of the bending and compression moduli of the smectic phase. The X-ray experiments may also be used to probe correlations between inclusions. Finally we show that asymmetric coupling (such as a local curvature of the membrane) results in a modification of the usual Caillé law.

PACS. 87.22.Bt Membrane and subcellular physics and structure - 82.65.Dp Thermodynamics of surfaces and interfaces - 82.70.-y Disperse systems 


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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2001

Authors and Affiliations

  • P. Sens
    • 1
  • M.S. Turner
    • 2
  1. 1.Institut Charles Sadron, 6 rue Boussingault, 67083 Strasbourg Cedex, FranceFR
  2. 2.Rockefeller University, New York, NY 10021 USA and Department of Physics, Warwick University, Coventry, CV4 7AL, UKGB

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