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Related papers: Moving contact line dynamics: from diffuse to shar…

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In this Letter, the 2-dimensional dense flow of polygonal particles on an incline with a flat frictional inferior boundary is analyzed by means of contact dynamics discrete element simulations, in order to develop boundary conditions for…

Soft Condensed Matter · Physics 2014-01-10 Riccardo Artoni , Andrea C. Santomaso , Massimiliano Go' , Paolo Canu

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

We construct gradient structures for free boundary problems with nonlinear elasticity and study the impact of moving contact lines. In this context, we numerically analyze how phase-field models converge to certain sharp-interface limits…

Analysis of PDEs · Mathematics 2024-06-26 Leonie Schmeller , Dirk Peschka

Droplet deposition onto a hydrophobic surface is studied experimentally and numerically. A wide range of droplet sizes can result from the same syringe, depending strongly on the needle retraction speed. Three regimes are identified…

Fluid Dynamics · Physics 2015-05-13 Bian Qian , Melissa Loureiro , David Gagnon , Anubhav Tripathi , Kenneth S. Breuer

We model an infinitely long liquid bridge confined between two plates chemically patterned by stripes of same width and different contact angle, where the three-phase contact line runs, on average, perpendicular to the stripes. This allows…

The ``no-slip'' boundary condition, i.e., zero fluid velocity relative to the solid at the fluid-solid interface, has been very successful in describing many macroscopic flows. A problem of principle arises when the no-slip boundary…

Soft Condensed Matter · Physics 2007-05-23 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

We consider a kinetic model of two species of particles interacting with a reservoir at fixed temperature, described by two coupled Vlasov-Fokker-Plank equations. We prove that in the diffusive limit the evolution is described by a…

Statistical Mechanics · Physics 2015-06-25 Guido Manzi , Rossana Marra

Using a dynamic Surface Force Apparatus, we demonstrate that the notion of slip length used to describe the boundary flow of simple liquids, is not appropriate for viscoelastic liquids. Rather, the appropriate description lies in the…

Soft Condensed Matter · Physics 2018-06-20 Benjamin Cross , Chloé Barraud , Cyril Picard , Liliane Léger , Frédéric Restagno , Elisabeht Charlaix

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of spherical shape. We take into account the interfacial…

Soft Condensed Matter · Physics 2023-10-24 David Rower , Misha Padidar , Paul J. Atzberger

We derive effective equations of motion governing the dynamics of sharp interfaces in phase-separated binary mixtures driven by spatio-temporal modulations of their material properties. We demonstrate, in particular, that spatial…

Soft Condensed Matter · Physics 2025-06-25 Jacopo Romano , Ramin Golestanian , Benoît Mahault

We define the dielectric constant (susceptibility) that should enter the Maxwell boundary value problem when applied to microscopic dielectric interfaces. The dielectric constant (susceptibility) of the interface is defined by exact…

Soft Condensed Matter · Physics 2016-08-03 Mohammadhasan Dinpajooh , Dmitry V. Matyushov

Capillarity-driven self-assembly at fluidic interfaces offers a scalable route to large, reconfigurable materials. Microscale particles with high horizontal-to-vertical aspect ratios become attractive building blocks for shape-directed…

Soft Condensed Matter · Physics 2026-05-27 Sungwan Park , Justin Jeongwoo Choi , Albert Tianxiang Liu

A main challenge in numerical simulations of moving contact line problems is that the adherence, or no-slip boundary condition leads to a non-integrable stress singularity at the contact line. In this report we perform the first steps in…

Fluid Dynamics · Physics 2015-10-23 Hanna Holmgren , Gunilla Kreiss

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

We consider the effective hydrophobicity of a periodically grooved surface immersed in liquid, with trapped shear-free bubbles protruding between the no-slip ridges at a $\pi/2$ contact angle. Specifically, we carry out a…

Fluid Dynamics · Physics 2016-09-14 Ory Schnitzer

Engineering wear models are generally empirical and lack connections to the physical processes of debris generation at the nanoscale to microscale. Here, we thus analyze wear particle formation for sliding interfaces in dry contact with…

Materials Science · Physics 2019-05-15 Tobias Brink , Jean-François Molinari

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes…

Fluid Dynamics · Physics 2021-12-21 Nikos Savva , Danny Groves

Solid friction between two rough surfaces is often observed to increase logarithmically over time due to contact creeping. An intriguing question is whether a similar aging effect occurs in contact line (CL) friction over rough substrates.…

Soft Condensed Matter · Physics 2025-03-06 Caishan Yan , Penger Tong , Qin Xu

Atomic diffusion at nanometer length scale may differ significantly from bulk diffusion, and may sometimes even exhibit counterintuitive behavior. In the present work, taking Cu/Ni as a model system, a general phenomenon is reported which…

Materials Science · Physics 2019-05-15 Atul Tiwari , M. K. Tiwari , Mukul Gupta , H. -C. Wille , Ajay Gupta