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Edges are abundant when elastic solids glide in guiding rails or fluids are contained in vessels. We here address induced displacements in elastic solids or small-scale flows in viscous fluids in the vicinity of one such edge. For this…

Soft Condensed Matter · Physics 2025-06-25 Abdallah Daddi-Moussa-Ider , Andreas M. Menzel

A partially-wetting liquid can deform the underlying elastic substrate upon which it rests. This situation requires the development of theoretical models to describe the wetting forces imparted by the drop onto the solid substrate,…

Soft Condensed Matter · Physics 2014-05-02 Joshua B. Bostwick , Michael Shearer , Karen E. Daniels

The adsorption of a collagen fragment on both a hydrophobic, hydrogen-terminated and a hydrophilic, natively oxidised Si surface is investigated using all-atom molecular dynamics. While favourable direct protein-surface interactions via…

Soft Condensed Matter · Physics 2019-03-27 Daniel J. Cole , Mike C. Payne , Lucio Colombi Ciacchi

Heterogeneities in the cell membrane due to coexisting lipid phases have been conjectured to play a major functional role in cell signaling and membrane trafficking. Thereby the material properties of multiphase systems, such as the line…

Soft Condensed Matter · Physics 2013-04-17 Stefan Semrau , Timon Idema , Laurent Holtzer , Thomas Schmidt , Cornelis Storm

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

Analysis of PDEs · Mathematics 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model.…

Analysis of PDEs · Mathematics 2026-03-04 Qianfeng Li , Emil Wiedemann

An adhesively stressed thin film of a soft hydrogel confined between two rigid flat substrates auto-roughens with its dominant wavelength exhibiting pronounced dependence on the film thickness (H). A linear stability analysis confirmed that…

Soft Condensed Matter · Physics 2014-01-29 Aditi Chakrabarti , Manoj K. Chaudhury

We construct a novel model for the steady-state contact angles of liquid droplets at the wetted substrate. The non-removable, thin liquid film covering the substrate is governed by the intermolecular forces between molecules of liquid and…

Fluid Dynamics · Physics 2022-10-19 Leonid Pekker , David Pekker , Nikolai Petviashvili

Biological adhesion is a critical mechanical function of complex organisms operating at multiple scales. At the cellular scale, cell-cell adhesion is remarkably tunable to enable both cohesion and malleability during development,…

Soft Condensed Matter · Physics 2022-03-07 Dimitri Kaurin , Pradeep K. Bal , Marino Arroyo

The linear (Winkler) foundation is a simple model widely used for decades to account for the surface response of elastic bodies. It models the response as purely local, linear, and perpendicular to the surface. We extend this model to the…

Soft Condensed Matter · Physics 2022-03-01 Chen Bar-Haim , Haim Diamant

Multivalent particles competing for binding on the same surface can exhibit switch-like behaviour, depending on the concentration of receptors on the surface. When the receptor concentration is low, energy dominates the free energy of…

Soft Condensed Matter · Physics 2016-08-24 Nicholas B. Tito , Daan Frenkel

In this paper, we consider a contact problem with adhesion between a viscoelastic body and a rigid support, taking thermal effects into account. The PDE system we deal with is derived within the modelling approach proposed by M. Fremond…

Analysis of PDEs · Mathematics 2015-05-14 Elena Bonetti , Giovanna Bonfanti , Riccarda Rossi

We use numerical simulations to show how a fully flexible filament binding to a deformable cylindrical surface may acquire a macroscopic persistence length and a helical conformation. This is a result of the nontrivial elastic response to…

Soft Condensed Matter · Physics 2015-03-17 Andela Šarić , Josep C. Pàmies , Angelo Cacciuto

Understanding the electrodes' surface morphology influence on the ions' distribution is essential for designing the supercapacitors with enhanced energy density characteristics. We develop a model for the structure of electrolytes near the…

Statistical Mechanics · Physics 2021-06-30 Timur Aslyamov , Konstantin Sinkov , Iskander Akhatov

We present a theory for the interfacial wetting phase behaviour of binary liquid mixtures on rigid solid substrates, applicable to both miscible and immiscible mixtures. In particular, we calculate the binding potential as a function of the…

Soft Condensed Matter · Physics 2024-02-02 Mounirah Areshi , Dmitri Tseluiko , Uwe Thiele , Benjamin D. Goddard , Andrew J. Archer

We consider a theoretical model for membranes with adhesive receptors, or stickers, that are actively switched between two conformational states. In their 'on'-state, the stickers bind to ligands in an apposing membrane, whereas they do not…

Soft Condensed Matter · Physics 2007-05-23 Bartosz Rozycki , Reinhard Lipowsky , Thomas R. Weikl

The study of the interactions of living adherent cells with mechanically stable (visco)elastic materials enables understanding and exploiting physiological phenomena mediated by cell-extracellular communication. However, insight on the…

In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analysing the Helfrich bending energy and viscous flow stresses in the limit of highly elongated shapes, we…

Soft Condensed Matter · Physics 2026-05-08 M. A. Shishkin , E. S. Pikina

Understanding contact line dynamics on superhydrophobic surfaces with microscopic structures is essential for designing materials with reduced drag, anti-icing, self-cleaning, and anti-fouling properties. Using numerical simulations, we…

Fluid Dynamics · Physics 2025-11-27 Pawan Kumar , Marta Krasowska , Joseph D. Berry

The study of vesicles in suspension is important to understand the complicated dynamics exhibited by cells in vivo and in vitro. We developed a computer simulation based on the boundary-integral method to model the three dimensional…

Biological Physics · Physics 2013-07-24 Ivan Rey Suarez , Chad Leidy , Gabriel Tellez , Guillaume Gay , Andres Gonzalez-Mancera
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