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Lamellar Phases: Effect of Fluctuations (Theory)

  • Didier Sornette
  • Nicole Ostrowsky
Part of the Partially Ordered Systems book series (PARTIAL.ORDERED)

Abstract

An essential characteristic and common feature of certain amphiphilic systems is the existence of the special two-dimensional membrane-like structure of their local order. As seen in previous chapters, these amphiphilic systems can be considered with good approximation as true bidimensional surfaces, at scales larger than their thickness (≈ 10–20Å). Consequently, many of their properties can be related to the geometrical, mechanical and statistical characteristics of simple fluctuating surfaces, independently of the details of their internal structure. Examples are provided by vesicles and lamellar phases, in which the two-dimensional membrane-like structure characterizes the whole system, and by fluid middle-phase isotropic microemulsions [1], whose properties can be understood in terms of the local sheet-like order. Among the extraordinary wealth of phases encountered in lyotropic (ternary, quaternary …) systems, the lamellar phases occupy a surprisingly large place in the phase diagrams [1]. Their importance also relies on their observed coexistence with less ordered phases (microemulsions) [2,3] or more ordered structures (e.g., hexagonal or cubic phases) [4] which place them in a unique intermediary position (and structure) (see Sec. 1.4.2). In the following, we will call under the generic name “membrane” all systems presenting a two-dimensional membrane-like structure in their local order.

Keywords

Surface Tension Thermal Fluctuation Rigid Wall Harmonic Approximation Persistence Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • Didier Sornette
    • 1
  • Nicole Ostrowsky
    • 1
  1. 1.Laboratoire de Physique de la Matière Condensée, CNRS URA 190Université de Nice-Sophia AntipolisNice Cedex 2France

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