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The moving-contact line between a fluid, liquid and a solid is a ubiquitous phenomenon, and determining the maximum speed at which a liquid can wet/dewet a solid is a practically important problem. Using continuum models, previous studies…

Fluid Dynamics · Physics 2022-08-17 J. S. Keeler , D. A. Lockerby , S. Kumar , J. E. Sprittles

We describe the formation of deposition patterns that are observed in many different experiments where a three-phase contact line of a volatile nanoparticle suspension or polymer solution recedes. A dynamical model based on a long-wave…

Fluid Dynamics · Physics 2011-06-24 Lubor Frastia , Andrew J. Archer , Uwe Thiele

We studied the dynamics of a liquid contact line receding on a hydrophobic soft gel (SBS-paraffin). In order to realize a well-defined geometry with an accurate control of velocity, a dip-coating setup was implemented. Provided that the…

We consider the scaling limit of a generic ferromagnetic system with a continuous phase transition, on the half plane with boundary conditions leading to the equilibrium of two different phases below criticality. We use general properties…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino , Alessio Squarcini

We develop a diffuse solid method that is versatile and accurate for modeling wetting and multiphase flows in highly complex geometries. In this scheme, we harness N + 1-component phase field models to investigate interface shapes and flow…

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible.…

Materials Science · Physics 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

A three-phase contact line in a three-phase fluid system is modeled by a mean-field density functional theory. We use a variational approach to find the Euler-Lagrange equations. Analytic solutions are obtained in the two-phase regions at…

Other Condensed Matter · Physics 2015-06-03 Chang-You Lin , Michael Widom , Robert F. Sekerka

Using an interface displacement model we calculate the shapes of nanometer-size liquid droplets on homogeneous cylindrical surfaces. We determine effective contact angles and line tensions, the latter defined as excess free energies per…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

The three-phase contact line formed by the intersection of a liquid-vapor interface of an electrolyte solution with a charged planar substrate is studied in terms of classical density functional theory applied to a lattice model. The…

Soft Condensed Matter · Physics 2016-04-28 Ingrid Ibagon , Markus Bier , S. Dietrich

We examine the nanoscale behavior of an equilibrium three-phase contact line in the presence of long-ranged intermolecular forces by employing a statistical mechanics of fluids approach, namely density functional theory (DFT) together with…

Fluid Dynamics · Physics 2014-08-05 Andreas Nold , David N. Sibley , Benjamin D. Goddard , Serafim Kalliadasis

We extend the Cahn-Landau-de Gennes mean field theory of binary mixtures to understand the wetting thermodynamics of a three phase system, that is in contact with an external surface which prefers one of the phases. We model the system…

Soft Condensed Matter · Physics 2020-12-01 Biswaroop Mukherjee , Buddhapriya Chakrabarti

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

A hydrophilic liquid, such as water, forms hydrogen bonds with a hydrophilic substrate. The strength and locality of the hydrogen bonding interactions prohibit slip of the liquid over the substrate. The question then arises how the contact…

Fluid Dynamics · Physics 2018-07-11 Petter Johansson , Berk Hess

Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

Materials Science · Physics 2026-03-20 Kaihua Ji , Alain Karma

Liquid droplets on soft solids, such as soft polymeric gels, can induce substantial surface deformations, leading to the formation of wetting ridges at contact points. While these contact ridges have been shown to govern the rich surface…

Soft Condensed Matter · Physics 2024-08-27 Wenjie Qian , Weiwei Zhao , Tiezheng Qian , Qin Xu

Wettability of a surface depends on both surface chemistry and topography. To move a three-phase contact line, a de-pinning force needs to be applied, which is of practical importance in various applications. However, a unified…

Fluid Dynamics · Physics 2024-10-08 Mahya Meyari , Camelia Dunare , Khellil Sefiane , Simon Titmuss , Job H. J. Thijssen

Phase-field models of fracture introduce smeared cracks of width commensurate with a regularisation length parameter $\epsilon$ and obeying a minimum energy principle. Mesh adaptivity naturally suggests itself as a means of supplying…

Computational Engineering, Finance, and Science · Computer Science 2022-06-01 Dhananjay Phansalkar , Kerstin Weinberg , Michael Ortiz , Sigrid Leyendecker

We report a detailed account of the phase diagram of a recently introduced model for non-equilibrium wetting in 1+1 dimensions [Phys. Rev. Lett. 79, 2710 (1997)]. A mean field approximation is shown to reproduce the main features of the…

Statistical Mechanics · Physics 2007-05-23 H. Hinrichsen , R. Livi , D. Mukamel , A. Politi

We use large-scale molecular dynamics to study dynamics at the three-phase contact line in electrowetting of water and electrolytes on no-slip substrates. Under the applied electrostatic potential the line friction at the contact line is…

Fluid Dynamics · Physics 2020-07-08 Petter Johansson , Berk Hess

Conventional phase-field models often drive solid-solid interfaces to coalesce when in close proximity. This feature limits their use for processes like diffusion bonding, where the interfaces might need to remain distinct under certain…

Materials Science · Physics 2026-02-20 Maryam Khodadad , Noel Walkington , Suresh Kalyanam , Matteo Pozzi , Kaushik Dayal