Probing nanoscale deformations of a fluctuating interface

Bickel, Thomas

doi:10.1209/0295-5075/106/16004

Cited by 19 publications

(15 citation statements)

References 25 publications

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“…Setting a particle nearby a cell membrane has been used in interfacial microrheological experiments as an efficient way to extract membrane's unknown moduli 37,43 . Theoretical investigations near elastic interfaces have been carried out using lubrication theory [44][45][46] , the point-particle approximation [47][48][49][50][51][52][53][54] and have recently been extended by including higher-order a) Electronic mail: abdallah.daddi-moussa-ider@uni-bayreuth.de singularities and the hydrodynamic interaction between two particles 55 . All these works considered an infinitely large planar interface which might not always be an appropriate model for a curved cell membrane.…”

Section: Introductionmentioning

confidence: 99%

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

2017

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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.

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Section: Introductionmentioning

confidence: 99%

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

2017

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“…A common feature of these processes is the presence of nearby interfaces, thus the motion occurs predominantly in geometric confinement. In living systems, the confining boundaries often possess a certain degree of elasticity which introduces additional memory effects to the system [11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

2017

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In this paper, we derive analytical expressions for the leading-order hydrodynamic mobility of a small solid particle undergoing motion tangential to a nearby large spherical capsule whose membrane possesses resistance toward shearing and bending. Together with the results obtained in the first part [Daddi-Moussa-Ider and Gekle, Phys. Rev. E 95, 013108 (2017)2470-004510.1103/PhysRevE.95.013108], where the axisymmetric motion perpendicular to the capsule membrane is considered, the solution of the general mobility problem is thus determined. We find that shearing resistance induces a low-frequency peak in the particle self-mobility, resulting from the membrane normal displacement in the same way, although less pronounced, to what has been observed for the axisymmetric motion. In the zero-frequency limit, the self-mobility correction near a hard sphere is recovered only if the membrane has a nonvanishing resistance toward shearing. We further compute the in-plane mean-square displacement of a nearby diffusing particle, finding that the membrane induces a long-lasting subdiffusive regime. Considering capsule motion, we find that the correction to the pair-mobility function is solely determined by membrane shearing properties. Our analytical calculations are compared and validated with fully resolved boundary integral simulations where a very good agreement is obtained.

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“…Several theoretical and experimental studies have investigated particle dynamics near a single boundary such as a rigid wall or cylinder 33 , a fluid-fluid interface [34][35][36][37][38][39][40][41] , a partial-slip interface 42,43 and an elastic membrane [44][45][46][47][48][49][50][51][52] . The latter stands apart from both rigid and fluid interfaces as the stretching of the elastic membrane by the moving particle introduces a memory effect in the system.…”

Section: Introductionmentioning

confidence: 99%

Particle mobility between two planar elastic membranes: Brownian motion and membrane deformation

2016

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We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due to the elastic energy stored in the membrane. Unlike the single-membrane case, a coupling between shearing and bending exists. The commonly used approximation of superposing two singlemembrane contributions is found to give reasonable results only for motions in the parallel, but not in the perpendicular direction. We also compute analytically the membrane deformation resulting from the motion of the particle, showing that the presence of the second membrane reduces deformation. Using the fluctuationdissipation theorem we compute the Brownian motion of the particle, finding a long-lasting subdiffusive regime at intermediate time scales. We finally assess the accuracy of the employed point-particle approximation via boundary-integral simulations for a truly extended particle. They are found to be in excellent agreement with the analytical predictions.

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Probing nanoscale deformations of a fluctuating interface

Cited by 19 publications

References 25 publications

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

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

Hydrodynamic mobility of a solid particle near a spherical elastic membrane. II. Asymmetric motion

Particle mobility between two planar elastic membranes: Brownian motion and membrane deformation

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