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Surface tension is a key parameter for understanding nucleation from the very initial stage of phase transformation. Although surface tension has been predicted to vary with the curvature of the liquid-vapor interface, particularly at the…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 Dohyun Kim , Jongwoo Kim , Jonggeun Hwang , Dongha Shin , Sangmin An , Wonho Jhe

In this paper we provide a large new family of embedded capillary surfaces inside polyhedral regions in the Euclidean space. The angle of contact of the examples we furnish is prescribed to be any value in $(\frac{\pi}{2}, \pi]$ and it is…

Differential Geometry · Mathematics 2014-04-09 Antonio Alarcon , Rabah Souam

We calculate the meniscus location in tapered capillaries under the influence of pressure difference and dielectrophoretic forces with and without gravity. We find that the meniscus location can be a discontinuous function of the pressure…

Soft Condensed Matter · Physics 2007-07-16 Yoav Tsori

Consider a convex cone in three-dimensional Minkowski space which either contains the lightcone or is contained in it. This work considers mean curvature flow of a proper spacelike strictly mean convex disc in the cone which is graphical…

Differential Geometry · Mathematics 2025-12-16 Wilhelm Klingenberg , Ben Lambert , Julian Scheuer

Small objects floating on a fluid have a tendency to aggregate due to capillary forces. This effect has been used, with the help of a magnetic induction field, to assemble submillimeter metallic spheres into a variety of structures, whose…

The motion of an air-fluid interface through an irregularly coated capillary is studied by analysing the Lucas-Washburn equation with a random capillary force. The pinning probability goes from zero to a maximum value, as the interface…

Fluid Dynamics · Physics 2009-11-13 Fabiana Diotallevi , Andrea Puglisi , Antonio Lamura , Sauro Succi

We present a systematic study of capillary filling for multi-phase flows by using mesoscopic lattice Boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical…

Cellular Automata and Lattice Gases · Physics 2007-07-09 F. Diotallevi , L. Biferale , S. Chibbaro , A. Lamura , G. Pontrelli , M. Sbragaglia , S. Succi , F. Toschi

When two solid surfaces are brought in contact, water vapor present in the ambient air may condense in the region of the contact to form a liquid bridge connecting the two surfaces : this is the so-called capillary condensation. This…

Soft Condensed Matter · Physics 2007-05-23 F. Restagno , L. Bocquet , J. Crassous , E. Charlaix

We study the formation and the shape of a liquid meniscus in a wedge with opening angle $2\phi$ which is exposed to a vapor phase. By applying a suitable effective interface model, at liquid-vapor coexistence and at a temperature $T_{\phi}$…

Soft Condensed Matter · Physics 2009-10-31 K. Rejmer , S. Dietrich , M. Napiorkowski

The effects of ultrasound on the dynamics of an air-water meniscus in a planar micro-geometry are investigated experimentally. The sonicated meniscus exhibits harmonic traveling waves or standing waves, the latter corresponding to a higher…

Adaptation and Self-Organizing Systems · Physics 2009-12-16 Jie Xu , Daniel Attinger

One of the most noticeable collective motion of non-cohesive granular matter is clustering under certain conditions. In particular, when a quasi-two-dimensional monolayer of mono-disperse non-cohesive particles is vertically vibrated, a…

Soft Condensed Matter · Physics 2015-06-11 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

This paper analyzes the configurations of shapes that shows a spacelike liquid drop in Minkowski space deposited over a spacelike plane $\Pi$. We assume the presence of a uniform gravity field directed toward $\Pi$ and that the volume of…

Mathematical Physics · Physics 2007-05-23 Rafael Lopez

Liquid capillary-bridge formation between solid particles has a critical influence on the rheological properties of granular materials and, in particular, on the efficiency of fluidized bed reactors. The available analytical and…

Soft Condensed Matter · Physics 2021-08-12 Lei Yang , Marcello Sega , Jens Harting

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

We consider a classical (capillary) model for a one-phase liquid in equilibrium. The liquid (e.g. water) is subject to a volume constraint, it does not mix with the surrounding vapour (e.g. air), it may come into contact with solid supports…

Analysis of PDEs · Mathematics 2021-04-27 Costante Bellettini

Evaporative lithography in cells of arbitrary configuration allows for the creation of diverse particle deposition patterns due to the formation of a specific flow structure in the liquid caused by non-uniform evaporation. The latter in…

Soft Condensed Matter · Physics 2025-12-09 Konstantin S. Kolegov , Viktor M. Fliagin , Natalia A. Ivanova

According to the Wulff construction the shape of the equilibrium crystal is determined by the surface tension considered as a function of the interface orientation. We present some (conjectured) approximate solutions and some rigorous…

Statistical Mechanics · Physics 2012-06-19 Salvador Miracle-Sole

The disk-to-vesicle transition of a fluid membrane with no spontaneous curvature is well described by the competition between edge line and curvature energies. However, the transition of asymmetric membranes with spontaneous curvatures is…

Soft Condensed Matter · Physics 2019-09-24 Hiroshi Noguchi

A particle placed in soft matter distorts its host and creates an energy landscape. This can occur, for example, for particles in liquid crystals, for particles on lipid bilayers or for particles trapped at fluid interfaces. Such energies…

Soft Condensed Matter · Physics 2015-10-20 Nima Sharifi-Mood , Iris B. Liu , Kathleen J. Stebe

We study the free energy landscapes of a pair of submicron spherical particles floating at the surface of a sessile droplet. The particles are subjected to radial external forces resulting in a deformation of the droplet shape relative to…

Soft Condensed Matter · Physics 2015-03-17 J. Guzowski , M. Tasinkevych , S. Dietrich