Abstract
In these lectures we discuss fluctuation phenomena encountered in interacting multilayered fluid membranes using synchrotron x-ray scattering as the primary tool. We consider very dilute Lα phases with inter-layer separations as large as ≈600 Å. While most Lα phases consist of flat membranes with large bending rigidity kc ≫ kBT, with their interlayer interactions determined by detailed microscopic interactions such as hydration and van der Waals, the stability of these phases is due to an effectively long-range interaction arising from the mutual hinderance of fluctuating membranes with a very small rigidity kc ≈ kBT. This regime, which because of its entropic origin exhibits universality, can be accessed from the microscopic regime by thinning and thus lowering the modulus kc of an initially rigid membrane.
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For this SDS-alcohol series which consists of negatively charged membranes separated by water the electrostatic interactions are long range (Eq. (13)) and significantly larger than all other forces such as hydration (Eq. (12)), van der Waals (Eq. (11)), and undulations (Eq. (10)). Consequently, the power-law exponent η is dominated by electrostatic forces and gives a direct measurement of kc (Eq. (19)).
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© 1989 Plenum Press, New York
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Safinya, C.R. (1989). Rigid and Fluctuating Surfaces: A Series of Synchrotron X-ray Scattering Studies of Interacting Stacked Membranes. In: Riste, T., Sherrington, D. (eds) Phase Transitions in Soft Condensed Matter. NATO ASI Series, vol 211. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0551-4_24
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DOI: https://doi.org/10.1007/978-1-4613-0551-4_24
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