Nonequilibrium fluctuations of an interface under shear

Thiébaud, Marine; Bickel, Thomas

doi:10.1103/physreve.81.031602

Cited by 26 publications

(50 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the presence of a flow, amplification of capillary fluctuations typically gives rise to hydrodynamic instabilities [4]. However recent results suggest that shear flow may in fact induce a non-linear attenuation of capillary waves [5][6][7].Here we present an accurate experimental characterization of such an attenuation of capillary fluctuations on glass surfaces. In particular, we show that a glass surface retains a structural record of the direction of the flow to which the liquid was submitted.…”

mentioning

confidence: 96%

“…Thiébaud and Bickel [6] recently proposed a stochastic hydrodynamic perturbative model of liquid interface under shear flow that predicts attenuation of the capillary modes in the direction of the flow depending on the viscous stress at the interface:…”

Section: Fig 3 Rms Roughnessmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Anisotropic Superattenuation of Capillary Waves on Driven Glass Interfaces

et al. 2017

View full text Add to dashboard Cite

Metrological AFM measurements are performed on the silica glass interfaces of photonic band-gap fibres and hollow capillaries. The freezing of attenuated out-of-equilibrium capillary waves during the drawing process is shown to result in a reduced surface roughness. The roughness attenuation with respect to the expected thermodynamical limit is determined to vary with the drawing stress following a power law. A striking anisotropic character of the height correlation is observed: glass surfaces thus retain a structural record of the direction of the flow to which the liquid was submitted.What governs the structure of a glass surface? To very good approximation, the bulk structure of a vitreous material resembles a snapshot of the liquid before glass transition [1]. Similarly, the surface of a glass corresponds to the frozen liquid interface [2], and can reveal frozen surface modes of this interface. Over a wide range of length scales, from the nanometer up to the millimeter range, the sub-nanometer roughness of a fire-polished glass surface results from the superposition of frozen thermal equilibrium capillary waves of the liquid [3].At equilibrium, capillary fluctuations of liquid interfaces originate from the interplay between thermal noise (k B T ) and interface tension (γ), and result in a superposition of capillary waves. Height fluctuations scale as:which equals 0.3-0.4 nm for most simple liquids. Liquid interfaces are thus extremely smooth. Thermal interface fluctuations correspond to a lower bound of the interface width imposed by equilibrium thermodynamics. In this context, the application of any external field is usually expected to enhance the level of fluctuations. In the presence of a flow, amplification of capillary fluctuations typically gives rise to hydrodynamic instabilities [4]. However recent results suggest that shear flow may in fact induce a non-linear attenuation of capillary waves [5][6][7].Here we present an accurate experimental characterization of such an attenuation of capillary fluctuations on glass surfaces. In particular, we show that a glass surface retains a structural record of the direction of the flow to which the liquid was submitted. Performing high precision Atomic Force Microscopy (AFM) roughness measurements on the inner glass interfaces of photonic band-gap fibres and hollow capillaries produced by fibre drawing, we show that driven glass interfaces re-FIG. 1. Sketch of the drawing of Hollow Core Photonic Band Gap Fibres (PBGF).The two AFM measurements represent the surface topography of the inner surfaces of a PBGF before (preform) and after (fibre) the hot drawing region (in orange). While isotropic before drawing, the sub-nanometer roughness exhibits clear elongated patterns along the fibre axis after drawing. The color bar represents a height range of 1.6 nm.sult from the freezing of attenuated capillary waves. The roughness is strongly anisotropic with an overall amplitude that presents a non-linear attenuation with respect to the expected equilibrium thermodynamic...

show abstract

mentioning

confidence: 96%

Section: Fig 3 Rms Roughnessmentioning

confidence: 99%

See 1 more Smart Citation

Anisotropic Superattenuation of Capillary Waves on Driven Glass Interfaces

et al. 2017

View full text Add to dashboard Cite

show abstract

“…All these works considered an infinitely large planar interface which might not always be an appropriate model for a curved cell membrane. Since their solution technique is based on 2D spatial Fourier transforms 13,56 , their approach cannot be extended to non-planar interfaces.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic mobility of a solid particle near a spherical elastic membrane: Axisymmetric motion

2017

View full text Add to dashboard Cite

We use the image solution technique to compute the leading order frequency-dependent self-mobility function of a small solid particle moving perpendicular to the surface of a spherical capsule whose membrane possesses shearing and bending rigidities. Comparing our results with those obtained earlier for an infinitely extended planar elastic membrane, we find that membrane curvature leads to the appearance of a prominent additional peak in the mobility. This peak is attributed to the fact that the shear resistance of the curved membrane involves a contribution from surface-normal displacements which is not the case for planar membranes. In the vanishing frequency limit, the particle self-mobility near a no-slip hard sphere is recovered only when the membrane possesses a non-vanishing resistance towards shearing. We further investigate capsule motion, finding that the pair-mobility function is solely determined by membrane shearing properties. Our analytical predictions are validated by fully resolved boundary integral simulations where a very good agreement is obtained.

show abstract

“…Other theoretical and experimental studies have also been conducted on fluctuations in NESS under shear flow by using systems other than immiscible blends [15][16][17][18][19][20][21][22][23][24] . For example, Sakaue et al [16] performed a theoretical investigation of a model system consisting of two beads connected by a harmonic spring under shear flow, showing that nonconservative forces caused by the shear flow violate the fluctuation dissipation theory (FDT) and deriving an alternative relation valid for NESS's.…”

Section: Introductionmentioning

confidence: 99%

Influence of shear flow on the linear response of a nematic liquid crystal to external electric fields

et al. 2012

View full text Add to dashboard Cite

We have investigated the linear response of shear stress to ac electric fields under shear flow in a nematic liquid crystal. The experimental results were compared with the theoretical results derived from the Ericksen-Leslie theory. Although close agreement was obtained at low shear rates, discrepancies were observed at high shear rates. By introducing a two-mode coupling model the experimental results were well reproduced for the entire range of shear rates, and nonconservative forces were found to play an important role in determining the fluctuation dynamics, which is a characteristic of nonequilibrium steady states.

show abstract

Nonequilibrium fluctuations of an interface under shear

Cited by 26 publications

References 30 publications

Anisotropic Superattenuation of Capillary Waves on Driven Glass Interfaces

Anisotropic Superattenuation of Capillary Waves on Driven Glass Interfaces

Hydrodynamic mobility of a solid particle near a spherical elastic membrane: Axisymmetric motion

Influence of shear flow on the linear response of a nematic liquid crystal to external electric fields

Contact Info

Product

Resources

About