Light Scattering from a Surfactant “Sponge” Phase: Evidence for a Hidden Symmetry

Roux, D.; Cates, M. E.; Olsson, Ulf; Ball, R. C.; Nallet, Frédéric; Bellocq, A. M.

doi:10.1209/0295-5075/11/3/008

Cited by 96 publications

(79 citation statements)

References 16 publications

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“…The L 3 sponge phase is a phase of disordered membranes commonly found near the L α phase in the phase diagram of diluted lyotropic systems [34][35][36]). In some systems (such as the Cetylpyridinium Chloride (CPCl)/hexanol/brine mixtures), the bilayers of the L α phase are tilted at the L 3 -L α interface at an angle θ 0 that depends on the dilution and varies between 45 • and 70 • [30].…”

Section: Oblique Anchoringmentioning

confidence: 99%

The confinement of smectics with a strong anchoring

Blanc¹,

Kléman²

2001

The European Physical Journal E

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International audienceWe examine several geometric features of the confinement of lamellar materials in complex geometries. When the anchoring of a sample at its boundaries (smectic-fluid interfaces or smectic-solid substrates interfaces) is strong enough, the geometric approximation of parallel layers can be extended to the bounding surface of the sample. Depending on the concavity of the interface, a strong planar anchoring is then compatible (or not) with a smectic organization in the bulk. We give the simplest smectic organization which satisfies a planar anchoring everywhere on the interface of axisymmetric inverse SmA droplets and compute its curvature energy. Eventually, the reason is given why the textures of direct and inverse SmA droplets are so much different (as it was first noticed in the pioneering work on SmA of Friedel and Grandjean)

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Section: Oblique Anchoringmentioning

confidence: 99%

The confinement of smectics with a strong anchoring

Blanc¹,

Kléman²

2001

The European Physical Journal E

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“…The Landau-Ginzburg free energy of the sponge involves two coupled order parameters [3,1,2]. One parameter is the surfactant density P, or more precisely its deviation from some value P', which we write as p=P -P'.…”

Section: The Static Structure Factormentioning

confidence: 99%

“…The sponge phase is typically formed in aqueous surfactant solutions [1,2], although analogues exist in oilsurfactant, and multicomponent, systems [3,10]. The phase is isotropic with no long-range order, though it typically occurs close to a lamellar phase in the phase diagram.…”

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Sponge phase of surfactant solutions: An unusual dynamic structure factor

Granek¹,

Cates²

1992

Phys. Rev. A

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The dynamics near the symmetry-breaking transition in the sponge phase (L3) of self-assembling surfactant solutions is considered. The surfactant motion is taken to be diffusive (conserved), while the order parameter for the transition (g) is assumed to follow two channels of relaxation: diffusion (conserved) and leakage (nonconserved). Our dynamical treatment is based on mean-field theory within a time-dependent Landau-Ginzburg approach, whose static limit reproduces an earlier successful theory of the static structure factor. We consider two main regimes: in the first, g relaxes rapidly compared to the surfactant diffusion, while in the second, the opposite limit applies. We find that in the fast-g regime the surfactant dynamical structure factor S(k, t) is exponential in time, but the relaxation rate shows an unusual logarithmic behavior. On the other hand, in the slow-g regime, S(k, t) is very nonexponential in time (although the average relaxation rates show the conventional critical slowing-down effects). We argue that a crossover from the fast-g to the slow-g case occurs as the k vector is increased. Implications for dynamic light scattering from sponge systems are discussed.

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“…II A has been extended to include the surfactant density, and the film scattering intensity has been calculated in a perturbative expansion in the coupling between the two order parameters. 50,51 In GRFM, the film correlation function for large r is well approximated by 36…”

Section: Film Scatteringmentioning

confidence: 99%

Scattering intensity of bicontinuous microemulsions and sponge phases

Peltomäki

Gompper

Kroll

2012

The Journal of Chemical Physics

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Monte Carlo simulations of dynamically triangulated surfaces of variable topology are used to investigate the scattering intensities of bicontinuous microemulsions. The bulk scattering intensity is shown to follow the Teubner-Strey expression. The domain size and the correlation length are extracted from the scattering peaks as a function of the bending rigidity, saddle-splay modulus, and surfactant density. The results are compared to earlier theories based on Ginzburg-Landau and Gaussian random field models. The ratio of the two length scales is shown to be well described by a linear combination of logarithmically renormalized bending rigidity and saddle-splay modulus with universal prefactors. This is in contrast to earlier theoretical predictions in which the scattering intensity is independent of the saddle-splay modulus. The equation of state, and the asymptotics of the bulk and film scattering intensities for high and low wave vectors are determined from simulations and compared with theoretical results.

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Light Scattering from a Surfactant “Sponge” Phase: Evidence for a Hidden Symmetry

Cited by 96 publications

References 16 publications

The confinement of smectics with a strong anchoring

The confinement of smectics with a strong anchoring

Sponge phase of surfactant solutions: An unusual dynamic structure factor

Scattering intensity of bicontinuous microemulsions and sponge phases

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