Dynamics of the undulation mode in swollen lamellar phases

Messager, René; Bassereau, Patricia; Porte, G.

doi:10.1051/jphys:0199000510120132900

Cited by 42 publications

(32 citation statements)

References 7 publications

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“…The relaxation rate of the undulation mode for the general, ternary system is found to be (26) in agreement with the result of reference [13]. Equation (26) reduces again to the result obtained in reference [12] for the case of the L α -phase in a binary system of amphiphiles and either water or oil. In fact, the theoretical result in this limit has already been confirmed experimentally in the light-scattering study of reference [20].…”

supporting

confidence: 76%

“…The European Physical Journal E ω = 1 4ηq The relaxation rate of the symmetric stack, with δ = d/2 and η o = η w , is found to be see equation (24) above For q ⊥ d = 0, equation (24) reduces to the result obtained in references [12,13] for the undulation mode, and to ω p = sinh(q δ) − q δ 4V (δ) + κq 4 4ηq cosh(q δ) + 1 (25) for the peristaltic mode [39]. Note that equation (25) agrees with the results of reference [13] only in the limit q δ 1 [40].…”

mentioning

confidence: 86%

“…This model for the dynamics of membranes has been introduced by Brochard and Lennon [33] for two membranes; their analysis has been extended to an infinite stack of membranes by Messager et al [12] and more rigorously by Seifert [34] (compare also Refs. [35,36]).…”

Section: The Model 21 Stacks Of Bilayers In Watermentioning

confidence: 98%

“…Scattering experiments [3][4][5][6][7][8][9][10] in the L α -phase provide a large amount of information about the thermal fluctuations and dynamics of these systems, because the amphiphilic layers have a well-defined average orientation. The simple stack geometry also allows for detailed theoretical investigations [9,[11][12][13][14][15]10], which can be carried out analytically. Finally, the theoretical results provide the necessary framework for the interpretation of the experimental data.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of the swollen lamellar phase

Schilling

Theissen

Gompper

2001

The European Physical Journal E

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We investigate the dynamical behavior of lamellar phases in ternary amphiphilic systems of water, oil and amphiphile. The interaction between the amphiphilic monolayers is described by the steric interaction due to thermal fluctuations for uncharged, and by electrostatic interactions for charged systems. The dynamics of the system is determined by the hydrodynamics of the fluid layers. The basic parameters of our model are the viscosities of the two solvents, the average thicknesses of the oil and water layers, and the bending rigidity. The model allows to consider different monolayer interactions across the oil and water layers. Relaxation rates are calculated for arbitrary wave vectors parallel and perpendicular to the average monolayer plane. We find that there is a quite complex crossover behavior from a q 2 law for small parallel wave vectors to a q 3 law for large q . We discuss the relevance of our result for the interpretation of dynamic light-scattering and neutron-spin-echo experiments for these systems. PACS. 47.55.-t Nonhomogeneous flows -68.10.-m Fluid surfaces and fluid-fluid interfaces -82.70.-y Disperse systems

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supporting

confidence: 76%

mentioning

confidence: 86%

Section: The Model 21 Stacks Of Bilayers In Watermentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Dynamics of the swollen lamellar phase

Schilling

Theissen

Gompper

2001

The European Physical Journal E

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“…where m ϳ 3 / k c is the reorganization time of a trapping site, which is the relaxation time of fluctuation for a free membrane of size [26], f ϳ a 2 / k B T is the time required for probe particles to diffuse over , and ⌬ is the increment of mobility under the condition involving the absence of a dynamic disorder process. From Eq.…”

Section: Dynamic Disorder Transportmentioning

confidence: 99%

Electrophoretic microrheology of a dilute lamellar phase: Relaxation mechanisms in frequency-dependent mobility of nanometer-sized particles between soft membranes

2004

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Viscoelastic properties of complex fluids in the microscopic scale can be studied by measuring the transport properties of small, embedded probe particles. We have measured the complex electrophoretic mobility micro*(omega) of nanometer-sized particles dispersed in a lyotropic lamellar phase, which shows two relaxation processes at approximately 1 kHz (high frequency relaxation, HF) and 1 Hz (low frequency relaxation, LF). It is shown quantitatively that these processes are caused by the trapping of particles within two local structures of characteristic size in the lamellar phase: the interbilayer distance and the persistence length. The origin of observed relaxations is further investigated and augmented in this study with data obtained by two other complementary methods, dielectric spectroscopy and the direct observation of fluorescently labelled probe particles under an optical microscope. It is shown that the local distortion field of the lamellar phase is induced by the extra steric interaction involving the collision of a colloidal particle with the membrane. The resulting distortion field hinders the Brownian motion of colloidal particles parallel to the membranes (not vertical), and causes the observed HF relaxation. On the other hand, the origin of LF relaxation is presumably a result of the defects in the lamellar structure. Since the results of this study show that the transport property is strongly influenced by microscopic environments, this method is referred to as electrophoretic microrheology.

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Structures of Interfaces in Crystalline Solids

Finnis¹,

Rühle²

2006

Materials Science and Technology

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Dynamics of the undulation mode in swollen lamellar phases

Cited by 42 publications

References 7 publications

Dynamics of the swollen lamellar phase

Dynamics of the swollen lamellar phase

Electrophoretic microrheology of a dilute lamellar phase: Relaxation mechanisms in frequency-dependent mobility of nanometer-sized particles between soft membranes

Structures of Interfaces in Crystalline Solids

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