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We investigate the wrinkling dynamics of a thin elastic sheet that is indented or compressed while floating on a viscous liquid. We show that the deformation speed controls the dynamics, leading to a wrinkle wavelength significantly smaller…

Soft Condensed Matter · Physics 2026-01-21 Ayrton Draux , Marco Rizzo , Dominic Vella , Vincent Démery , Fabian Brau , Pascal Damman

This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty is the treatment of close particles. Standard…

Analysis of PDEs · Mathematics 2022-01-13 Mitia Duerinckx , Antoine Gloria

We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles…

Analysis of PDEs · Mathematics 2016-10-13 Richard M. Höfer

We consider the propulsion of micron-scale chiral objects by electromagnetic fields in fluids - a problem with broad applications in microfluidics, pharmaceutics, and biomedicine. Because of the small size of the moving objects, the…

Soft Condensed Matter · Physics 2018-04-25 S. Aif , I. A. Kuk , D. E. Kharzeev

Recent progress in approaches to determine the elastic constants of solids starting from the microscopic particle interactions is reviewed. On the theoretical side, density functional theory approaches are discussed and compared to more…

Statistical Mechanics · Physics 2013-01-07 Matthias Fuchs

Trapping and manipulation of small particles underlies many scientific and technological applications. Recently, the precise manipulation of multiple small particles was demonstrated using a Stokes trap that relies only on fluid flow…

Fluid Dynamics · Physics 2019-11-06 Anish Shenoy , Dinesh Kumar , Sascha Hilgenfeldt , Charles M. Schroeder

The viscoelastic behavior of polymer solutions is commonly measured using oscillating shear rheometry, however, the accuracy of such methods is limited by the oscillating frequency of the equipment and since the relaxation time of the…

Fluid Dynamics · Physics 2020-04-24 Zijie Qu , Xiongfeng Yi , Kenneth S. Breuer

We consider the sedimentation of $N$ spherical particles with identical radii $R$ in a Stokes flow in $\mathbb R^3$. The particles satisfy a no-slip boundary condition and are subject to constant gravity. The dynamics of the particles is…

Analysis of PDEs · Mathematics 2023-11-06 Richard M. Höfer , Richard Schubert

Soft particulate gels can reversibly yield when sufficient deformation is applied, and the characteristics of this transition can be enhanced or limited by designing hybrid hydrogel composites. While the microscopic dynamics and macroscopic…

Soft Condensed Matter · Physics 2022-11-09 Gavin J. Donley , Minaspi Bantawa , Emanuela Del Gado

Being able to reduce the size of a rheometer down to the micron scale is a unique opportunity to explore the mechanical response of expensive and/or confined liquids and gels. To this aim, we synthesize micron size wires with magnetic…

Soft Condensed Matter · Physics 2021-09-21 F. Loosli , M. Najm , J. -F. Berret

We investigated the viscoelastic properties of colloid-polymer mixtures at intermediate colloid volume fraction and varying polymer concentrations, thereby tuning the attractive interactions. Within the examined range of polymer…

Soft Condensed Matter · Physics 2008-12-05 M. Laurati , G. Petekidis , N. Koumakis , F. Cardinaux , A. B. Schofield , J. M. Brader , M. Fuchs , S. U. Egelhaaf

Diffusion in cell biology is important and complicated. Diffusing particles must contend with a complex environment as they make their way through the cell. We analyze a particular type of complexity that arises when diffusing particles…

Subcellular Processes · Quantitative Biology 2018-09-06 Ben Fogelson , James P. Keener

Odd viscoelastic materials are constrained by fewer symmetries than their even counterparts. The breaking of these symmetries allow these materials to exhibit different features, which have attracted considerable attention in recent years.…

Soft Condensed Matter · Physics 2024-08-21 Charlie Duclut , Stefano Bo , Ruben Lier , Jay Armas , Piotr Surówka , Frank Jülicher

The effect of curvature and how it induces and enhances the transport of colloidal particles driven through narrow channels represent an unexplored research avenue. Here we combine experiments and simulations to investigate the dynamics of…

This paper is concerned with the dynamics of a binary mixture of rod--like, repulsive colloidal particles driven out of equilibrium by means of a steady shear flow (Couette geometry). To this end we first derive, starting from a microscopic…

Soft Condensed Matter · Physics 2016-05-25 Rodrigo Lugo-Frias , Sabine H. L. Klapp

In view of the growing role of magnetic particles under magnetic field influence in medical and other applications, and perforce the bead chaining, it is important to understand more generally the chain dynamics. As is well known, in the…

Fluid Dynamics · Physics 2024-04-09 Robert J. Deissler , Rose Al Helo , Robert Brown

Consider a colloidal suspension of rigid particles in a steady Stokes flow. In a celebrated work, Einstein argued that in the regime of dilute particles the system behaves at leading order like a Stokes fluid with some explicit effective…

Analysis of PDEs · Mathematics 2020-12-30 Mitia Duerinckx , Antoine Gloria

Viscoelastic materials containing bubbles or drops are encountered in numerous application fields, and are presently the object of much interest. The motion of bubbles and drops in these matrices can be significantly different than in…

Soft Condensed Matter · Physics 2023-03-17 Dominique Langevin

We investigate the influence of interfacial rheology on the motion of a compound particle consisting of a viscous droplet enclosing a translating rigid particle in the Stokes flow regime. The droplet interface is modeled using the…

Fluid Dynamics · Physics 2026-05-05 Ali Gürbüz , Hervé Nganguia , Guangpu Zhu , Lailai Zhu , Y. N. Young , On Shun Pak

A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded…

Soft Condensed Matter · Physics 2009-10-21 A. Kapanowski