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Recent experiments have shown that liquid drops on highly deformable substrates exhibit mutual interactions. This is similar to the Cheerios effect, the capillary interaction of solid particles at a liquid interface, but now the roles of…

Swelling is a volumetric-growth process in which a porous material expands by spontaneous imbibition of additional pore fluid. Swelling is distinct from other growth processes in that it is inherently poromechanical: Local expansion of the…

Soft Condensed Matter · Physics 2025-05-13 Thibault Bertrand , Jorge Peixinho , Shomeek Mukhopadhyay , Christopher W. MacMinn

We examine theoretically the effects of random topographical substrates on the motion of two-dimensional droplets via appropriate statistical approaches. Different random substrate families are represented as stationary random functions.…

Fluid Dynamics · Physics 2013-10-03 Nikos Savva , Serafim Kalliadasis , Grigorios A. Pavliotis

Superclimbing dynamics is the signature feature of transverse quantum fluids describing wide superfluid one-dimensional interfaces and/or edges with negligible Peierls barrier. Using Lagrangian formalism, we show how the essence of the…

Quantum Gases · Physics 2025-07-28 Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

Capillary forces are involved in a variety of natural phenomena, ranging from droplet breakup to the physics of clouds. The forces from surface tension can also be exploited in industrial application provided the length scales involved are…

Fluid Dynamics · Physics 2015-06-19 Jean-Philippe Péraud , Eric Lauga

Here, we study the coalescence of two droplets that are moving in the same direction on a soft surface; the motion of the droplets is caused by a gradient in the surface stiffness. As reference, stationary coalescence of the same droplets…

Soft Condensed Matter · Physics 2026-05-19 Divyansh Tripathi , Vimal Kishore , Panagiotis E. Theodorakis , Swarn Lata Singh

We consider the dynamics of thin two-dimensional viscous droplets on chemically heterogeneous surfaces moving under the combined effects of slip, mass transfer and capillarity. The resulting long-wave evolution equation for the droplet…

Fluid Dynamics · Physics 2021-12-20 Danny Groves , Nikos Savva

The levitating Leidenfrost (LF) state of a droplet on a heated substrate is often accompanied by fascinating behaviors such as star-shaped deformations, self-propulsion, bouncing, and trampolining. These behaviors arise due to the vapor…

Fluid Dynamics · Physics 2024-08-28 Pranjal Agrawal , Gaurav Tomar , Susmita Dash

We investigate the dynamics of micron-scale drops pushed across a hydrophobic or superhydrophobic surface. The velocity profile across the drop varies from quadratic to linear with increasing height, indicating a crossover from a sliding to…

Soft Condensed Matter · Physics 2010-09-24 B. M. Mognetti , H. Kusumaatmaja , J. M. Yeomans

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

We study the hydrodynamic mechanisms involved in the motion of the contact line formed at the end region of a liquid filament laying on a planar and horizontal substrate. Since the flow develops under partially wetting conditions, the tip…

Fluid Dynamics · Physics 2017-05-31 Pablo D. Ravazzoli , Ingrith P. Cuellar , Alejandro G. González , Javier A. Diez

We theoretically study the conformations of a helical semi-flexible filament confined to a flat surface. This squeezed helix exhibits a variety of unexpected shapes resembling circles, waves or spirals depending on the material parameters.…

Biological Physics · Physics 2017-02-16 Lila Bouzar , Martin Michael Müller , Pierre Gosselin , Igor M. Kulić , Hervé Mohrbach

The drying of a drop containing particles often results in the accumulation of the particles at the contact line. In this work, we investigate the drying of an aqueous colloidal drop surrounded by a hydrogel that is also evaporating. We…

Soft Condensed Matter · Physics 2017-01-31 François Boulogne , François Ingremeau , Howard A. Stone

Two-dimensional Molecular Dynamics simulations are used to model the free surface flow of spheres falling down an inclined chute. The interaction between the particles in our model is assumed to be subjected to the Hertzian contact force…

Condensed Matter · Physics 2009-10-22 Thorsten Poeschel

The equilibrium properties of polymer droplets on a soft deformable surface are investigated by molecular dynamics simulations of a bead-spring model. The surface consists of a polymer brush with irreversibly end-tethered linear homopolymer…

Soft Condensed Matter · Physics 2015-05-28 Fabien Léonforte , Marcus Müller

When do droplets merge and when do they bounce? Over the last 10 years, advances in experimental techniques, such as high-speed cameras, have enabled us to make important discoveries on how the dynamics of thin gas films can influence the…

Fluid Dynamics · Physics 2023-12-14 Alexis Tzelilis

Simulation results for head-on collisions of equal-sized spherical polymer nanodroplets using molecular dynamics are presented. Elastic behavior of an initial compressed phase for the colliding droplets is analyzed. Deformations and contact…

Computational Physics · Physics 2015-05-18 Sangrak Kim

The interaction of surfaces in relative motion in wet environments is dominated by lubrication forces, which play a pivotal role in the dynamics of microscopic systems. Here, we develop motile vesicles that exploit lubrication forces to…

Vertically vibrating a liquid bath at two frequencies, $f$ and $f/2$, having a relative phase difference $\Delta\phi_0$ can give rise to self-propelled superwalking droplets on the liquid surface. We have numerically investigated such…

Fluid Dynamics · Physics 2021-04-21 Rahil N. Valani , Anja C. Slim , Tapio P. Simula

We present a comprehensive study of water drops sliding down chemically heterogeneous surfaces formed by a periodic pattern of alternating hydrophobic and hydrophilic stripes. Drops are found to undergo a stick-slip motion whose average…