Smectic elastic constants of lamellar fluid membrane phases: Crumpling effects

Golubović, Leonardo; Lubensky, T. C.

doi:10.1103/physrevb.39.12110

Cited by 68 publications

(47 citation statements)

References 31 publications

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“…For the lamellar bilayer membrane systems of a common nonionic surfactant C 12 E 5 , the periodic structure of bilayers is assumed to be stabilized by the Helfrich steric undulations [15][16][17] . Small amounts of ionic surfactants give a significant influence on the behavior of the dilute bilayer solutions of the nonionic agent [18] .…”

Section: Introductionmentioning

confidence: 99%

“…It has been reported that the nonionic surfactant systems of C 12 E 5 do not need any ionic surfactants to have the swollen bilayers showing the iridescent color [16][17][18] , although this type of nonionic surfactant may contain ionic impurities, in some cases owing to the oxidation of the terminal -COH group to ionizable -COOH group [29] . In our DGI systems, it is found that ionic surfactants are necessary to change from the lamellar liquid crystalline droplets of pure DGI having the spacing distance of several nm to the iridescent lamellar phases.…”

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confidence: 99%

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Effect of ionic surfactants on the iridescent color in lamellar liquid crystalline phase of a nonionic surfactant

Chen

Mayama

Matsuo

et al. 2007

Journal of Colloid and Interface Science

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1A nonionic surfactant, n-dodecyl glyceryl itaconate (DGI), self-assembles into bilayer membranes in water having a spacing distance of sub-micrometer in the presence of small amounts of ionic surfactants, and shows beautiful iridescent color. Ionic surfactants have great effects on this iridescent system. We have interestingly found that the iridescent color changes with time after mixing DGI and ionic surfactants and the color in equilibrium state changes greatly with changing concentration of the ionic surfactants. The time dependent color change results from the transformation of DGI aggregate structure after being mixed with ionic surfactant. It is first found that the iridescent color of this nonionic system can be changed from red to deep blue by altering the concentration of ionic surfactants added even though the total concentration of surfactant is almost constant. Such large blue shift of the iridescent color in equilibrium state cannot be fully explained by the ordinary undulation theory applied so far for this phenomenon. The flat lamellar sheets tend to curve by increasing the concentration of ionic surfactants to form separated onion-like and/or myelin-like structures. These separated structures of lamellar system result in the decrease of spacing distance between bilayer membranes because some vacant spaces necessarily appear among these structures.

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Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Effect of ionic surfactants on the iridescent color in lamellar liquid crystalline phase of a nonionic surfactant

Chen

Mayama

Matsuo

et al. 2007

Journal of Colloid and Interface Science

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“…In the part of the phase diagram, where ordered phases are stable, the free-energy density should contain a negative surface tension contribution (compare Refs. [56,38]) and the topological term -which due to the Gauss-Bonnet theorem is often neglected, but in fact prevents the lattice constant from shrinking to zero [54]. The same reasoning might be applied to binary systems by identifying monolayers with bilayers and oil and water with water I and water II, respectively.…”

Section: Hierarchy Of Structuresmentioning

confidence: 99%

Systematic approach to bicontinuous cubic phases in ternary amphiphilic systems

1999

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The Fourier approach and theories of space groups and color symmetries are used to systematically generate and compare bicontinuous cubic structures in the framework of a Ginzburg-Landau model for ternary amphiphilic systems. Both single and double structures are investigated; they correspond to systems with one or two monolayers in a unit cell, respectively. We show how and why single structures can be made to approach triply periodic minimal surfaces very closely, and give improved nodal approximations for G, D, I-WP and P surfaces. We demonstrate that the relative stability of the single structures can be calculated from the geometrical properties of their interfaces only. The single gyroid G turns out to be the most stable bicontinuous cubic phase since it has the smallest porosity. The representations are used to calculate distributions of the Gaussian curvature and 2 H-NMR bandshapes for C(P), C(D), S, C(Y) and F-RD surfaces.

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“…Inter alia, we shall also see that the interplay of bending rigidity and repulsive interactions leads to polymer alignment. This kind of interplay has long been known to promote striking collective phenomena, such as nematic [13] or smectic [8] ordering.To identify the quantum analog appropriate to a single zigzagging directed line, we recall-following Feynman and Hibbs [14] (and further developments in Refs. [15][16][17])-that the (discretized) Feynman path-integral representation of the quantum propagator Z(C f , C i ) between the initial state C i and the final state C f of a relativistic particle consists of a sum over zigzagging paths.…”

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confidence: 99%

Emergent tilt order in Dirac polymer liquids

2015

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We study a liquid of zigzagging two-dimensional directed polymers with bending rigidity, i.e., polymers whose conformations follow checkerboard paths. In the continuum limit the statistics of such polymers obey the Dirac equation for particles of imaginary mass. We exploit this observation to investigate a liquid of these polymers via a quantum many-fermion analogy. A self-consistent approximation predicts a phase of tilted order, in which the polymers may develop a preference to zig rather than zag. We compute the phase diagram and key response functions for the polymer liquid, and comment on the role played by fluctuations. PACS numbers: 36.20.Fz, 61.30.Vx, 03.65.Pm, 05.30.Fk Directed line liquids consist of quasi-one-dimensional objects that are preferentially oriented along a common direction about which they undergo thermal fluctuations [1][2][3][4]. Realizations include systems as diverse as polymer liquids under uniaxial tension [5][6][7], twodimensional lamellar smectics [8], step edges on crystal surfaces [9], interfaces in the KPZ universality class [10], and vortex lines in planar type-II superconductors [11]. Quantum many-body physics provides powerful tools for analyzing the thermal equilibrium properties of classical systems of strongly interacting directed line liquids, by means of the well-known mapping between the configurations of classical directed lines in D-dimensional space and the world-lines of nonrelativistic quantum particles moving in D − 1 spatial dimensions [1,[5][6][7]. For example, in Refs. [1,5,7] this mapping has been used to relate the structure of non-intersecting, but otherwise noninteracting, two-dimensional directed polymer liquids to the properties of the non-interacting one-dimensional Fermi gas. As discussed in Ref. [6], the properties of three-dimensional directed polymer liquids follow from a mapping onto a two-dimensional system of fermions interacting via a Chern-Simons potential.The two-dimensional directed polymers that we consider in the present article have an energetic preference to be straight, i.e., an energy cost to be bent. To date, by contrast, attention has primarily been focused on directed polymers that have an energetic preference to be short, i.e., an external tension controls the mean length. Unlike the Kratky-Porod [12] model, which features a curvature-based bending energy, the polymers in the current model bend only by a fixed angle. This model of zigzagging directed lines may also capture the effect of crystalline anisotropy in step edges on crystal surfaces. As we shall see, the appropriate quantum analog of the zigzagging directed line liquid consists of relativistic quantum particles, which, accordingly, are governed by the Dirac equation. This analogy, combined with a self-consistent field approximation, enables us to obtain information about local polymer density and alignment in the form of the mean values and correlations of these quantities. Inter alia, we shall also see that the interplay of bending rigidity and repulsive interactions l...

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Smectic elastic constants of lamellar fluid membrane phases: Crumpling effects

Cited by 68 publications

References 31 publications

Effect of ionic surfactants on the iridescent color in lamellar liquid crystalline phase of a nonionic surfactant

Effect of ionic surfactants on the iridescent color in lamellar liquid crystalline phase of a nonionic surfactant

Systematic approach to bicontinuous cubic phases in ternary amphiphilic systems

Emergent tilt order in Dirac polymer liquids

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