The translational and rotational drag on Langmuir monolayer domains

Steffen, P.; Heinig, P.; Wurlitzer, S.; Khattari, Z. Y.; Fischer, Thomas M.

doi:10.1063/1.1378017

Cited by 30 publications

(35 citation statements)

References 19 publications

(8 reference statements)

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“…Thus, these can often be viewed as macroscopic objects moving in a continuum fluid environment. Studies of the motion of such inclusions in amphaphilic films [3,4] and cell membranes have a long and interesting history. There are discrepancies in the early literature on protein diffusion in cell membranes, for instance, because of confusion over the applicability of three-versus two-dimensional diffusion to this case [7,8].…”

Section: Introductionmentioning

confidence: 99%

Mobility of extended bodies in viscous films and membranes

2004

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We develop general methods to calculate the mobilities of extended bodies in (or associated with) membranes and films. We demonstrate a striking difference between in-plane motion of rod-like inclusions and the corresponding case of bulk (three-dimensional) fluids: for rotations and motion perpendicular to the rod axis, we find purely local drag, in which the drag coefficient is purely algebraic in the rod dimensions. These results, as well as the calculational methods are applicable to such problems as the diffusion of objects in or associated with Langmuir films and lipid membranes. The methods can also be simply extended to treat viscoelastic systems.

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Section: Introductionmentioning

confidence: 99%

Mobility of extended bodies in viscous films and membranes

2004

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“…It works against the dissipation force, F drag . Since the monolayer is not in a dense phase, the usual 3D viscosity η 3D of the water subphase dominates the 2D one [32,33,34], . We obtain straight lines, which proves that, at these length scales, the line tension is constant despite long-range dipolar interactions [12,13,24,30].…”

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Two-dimensional shear modulus of a Langmuir foam

et al. 2003

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Abstract. -We deform a two-dimensional (2D) foam, created in a Langmuir monolayer, by applying a mechanical perturbation, and simultaneously image it by Brewster angle microscopy. We determine the foam stress tensor (through a determination of the 2D gas-liquid line tension, 2.35 ± 0.4 pJ·m −1 ) and the statistical strain tensor, by analyzing the images of the deformed structure. We deduce the 2D shear modulus of the foam, µ = 38±3 nN·m −1 . The foam effective rigidity is predicted to be 35 ± 3 nN · m −1 , which agrees with the value 37.obtained in an independent mechanical measurement.Introduction. -A liquid foam, made of polyhedral gas bubbles separated by thin liquid walls forming a connected network [1], is a mixture of two fluids. It has nevertheless a solidlike elasticity, characterised by a shear modulus µ, proportional to the surface tension of the walls [2,3]. In fact, shearing a foam modifies the total length of the walls, thus the foam energy. The value of µ can be determined in numerical simulations [4,5,6]; however, it is still an open problem to predict analytically its value for a real foam, which has a finite fluid fraction and an inherent disorder due to its distribution of bubble sizes.Here, we compare two experimental measurements of µ. First, by global mechanical measurements on the scale of the whole foam, described in terms of elasticity of continuous media. Second, and simultaneously, by detailed imaging of the diphasic foam structure, on the local level of a few bubbles: this suggests to use two-dimensional (2D) foams. In the literature, 2D soap froths have been sheared in Couette geometry, either as bubble rafts [7,8,9] or confined in Hele-Shaw cells between two parallel plates of glass [10].We investigate the elasticity of a real 2D system: a "Langmuir foam" [11]. A monomolecular layer of amphiphilic molecules deposited at the surface of water ("Langmuir monolayer") exhibits a first order transition between a 2D gas phase and a denser 2D liquid (also called

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“…Optical microrheology has gained considerable popularity the last decade due to the development of new techniques, as well as the advances in computational techniques and image analysis [1][2][3][4][5][6][7][8][9][10][11][12]. It has been used to probe the local rheological properties (e.g., shear modulus) of a number of different soft materials with considerable success.…”

Section: Introductionmentioning

confidence: 99%

Fundamental limits of optical microrheology

Fischer

2004

Journal of Colloid and Interface Science

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The translational and rotational drag on Langmuir monolayer domains

Cited by 30 publications

References 19 publications

Mobility of extended bodies in viscous films and membranes

Mobility of extended bodies in viscous films and membranes

Two-dimensional shear modulus of a Langmuir foam

Fundamental limits of optical microrheology

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