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Gravitational settling of a droplet in air onto a soft substrate is a ubiquitous event relevant to many natural processes and engineering applications. We study this phenomenon by developing a three-phase lubrication model of droplet…

Fluid Dynamics · Physics 2022-02-02 Stéphane Poulain , Andreas Carlson

Motivated by observations of heterogeneous domain structure on the surface of cells, we consider a minimal model to describe the dynamics of phase separation on the surface of a spherical particle. Finite-size effects on the curved particle…

Soft Condensed Matter · Physics 2016-07-13 Matthias C. Bott , Joseph M. Brader

The breakup dynamics of viscous liquid bridges on solid surfaces is studied experimentally. It is found that the dynamics bears similarities to the breakup of free liquid bridges in the viscous regime. Nevertheless, the dynamics is…

Fluid Dynamics · Physics 2024-08-06 Salar Farokhi , Peyman Rostami , Günter K. Auernhammer , Steffen Hardt

As was shown in an earlier paper [1], solids dispersed in a drying drop migrate to the (pinned) contact line. This migration is caused by outward flows driven by the loss of the solvent due to evaporation and by geometrical constraint that…

Soft Condensed Matter · Physics 2007-05-23 Yuri O. Popov , Thomas A. Witten

The buoyancy-driven motion of a deformable bubble rising near a vertical hydrophilic wall is studied numerically. We focus on moderately inertial regimes in which the bubble undergoes low-to-moderate deformations and would rise in a…

Fluid Dynamics · Physics 2025-01-16 Pengyu Shi , Jie Zhang , Jacques Magnaudet

We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction-diffusion equations with singular diffusion forced by a…

Probability · Mathematics 2026-01-12 Amjad Saef , Wilhelm Stannat

We have designed and constructed an experimental system to study gas bubble growth in slightly supersatu- rated liquids. This is achieved by working with carbon dioxide dissolved in water, pressurized at a maximum of 1 MPa and applying a…

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

Materials Science · Physics 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

We have simulated the motion of a single vertical, two-dimensional liquid bridge spanning the gap between two flat, horizontal solid substrates of given wettabilities, using a multicomponent pseudopotential lattice Boltzmann method. For…

Soft Condensed Matter · Physics 2022-03-02 Rodrigo C. V. Coelho , Luis A. R. G. Cordeiro , Rodrigo B. Gazola , Paulo I. C. Teixeira

In this study we use non-equilibrium thermodynamics to systematically derive a phase-field model of a polyelectrolyte gel coupled to a hydrodynamic model for a salt solution surrounding the gel. The governing equations for the gel account…

Soft Condensed Matter · Physics 2022-03-02 Giulia L. Celora , Matthew G. Hennessy , Andreas Münch , Barbara Wagner , Sarah L. Waters

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of a phase transition from a liquid to a…

Statistical Mechanics · Physics 2015-05-13 B. Waclaw , J. Sopik , W. Janke , H. Meyer-Ortmanns

The phase diagram of a dissipative particle in a periodic potential and a magnetic field is studied in the weak barrier limit and in the tight-biding regime. For the case of half flux per plaquette, and for a wide range of values of the…

Strongly Correlated Electrons · Physics 2016-08-31 E. Novais , F. Guinea , A. H. Castro Neto

Rivulets and droplets are naturally appearing shapes when small amounts of liquid are deposited on a partially wettable substrate. Here we study, by means of numerical simulations, the dewetting dynamics of a ring-rivulet on substrates with…

Fluid Dynamics · Physics 2026-02-09 Stefan Zitz , Andrea Scagliarini , Johan Roenby

A tiny air bubble can be entrapped at the bottom of a solid sphere that impacts onto a liquid pool. The bubble forms due to the deformation of the liquid surface by a local pressure buildup inside the surrounding gas, as also observed…

Fluid Dynamics · Physics 2023-07-19 Wilco Bouwhuis , Maurice H. W. Hendrix , Devaraj van der Meer , Jacco H. Snoeijer

The paper presents an analytical description of the growth of a two-component bubble in a binary liquid-gas solution. We obtain asymptotic self-similar time dependence of the bubble radius and analytical expressions for the non-steady…

Fluid Dynamics · Physics 2015-05-14 G. Yu. Gor , A. E. Kuchma

We consider a minimal model to describe the quantum phases of ultracold dipolar bosons in two-dimensional (2D) square optical lattices. The model is a variation of the extended Bose-Hubbard model and apt to study the quantum phases arising…

Quantum Gases · Physics 2019-11-27 Soumik Bandyopadhyay , Rukmani Bai , Sukla Pal , K. Suthar , Rejish Nath , D. Angom

We investigate the nature of vapor bubble nucleation near a nanoscale-curved convex liquid-solid interface using two models; an equilibrium Gibbs model for homogenous formation, and a nonequilibrium dynamic van der Waals/diffuse interface…

Fluid Dynamics · Physics 2018-03-28 Jarrod Schiffbauer , Tengfei Luo

Present work is a theoretical study on the stability of the thermotropic biaxial nematic liquid crystal phase in model systems. Its main aim is to present the phase diagrams of spatially uniform liquid mesophases and to identify the…

Soft Condensed Matter · Physics 2009-07-07 Piotr Grzybowski

The stability of multielectron bubbles (MEBs) in liquid helium is investigated using the liquid-drop model for fissioning nuclei. Whereas a critical positive pressure can make the bubble unstable against fissioning, a small negative…

Condensed Matter · Physics 2009-11-07 J. Tempere , I. F. Silvera , J. T. Devreese

We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that…

Materials Science · Physics 2009-11-10 Jean-Marc Debierre , Alain Karma , Franck Celestini , Rahma Guerin