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Interface equations are derived for both binary diffusive and binary fluid systems subjected to non-equilibrium conditions, starting from the coarse-grained (mesoscopic) models. The equations are used to describe thermo-capillary motion of…

Soft Condensed Matter · Physics 2015-06-25 Ravi Bhagavatula , David Jasnow , Takao Ohta

The role of surface tension and wettability in the dynamics of air-liquid interfaces during immiscible fluid displacement flows in capillary tube driven by pressure has been investigated. The contact angle and capillary number drive the…

Fluid Dynamics · Physics 2016-10-26 Changfei Yan , Huihe Qiu

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

The dry frictional contact between two solid surfaces is well-known to obey Coulomb friction laws. In particular, the static friction force resisting the relative lateral (tangential) motion of solid surfaces, initially at rest, is known to…

Statistical Mechanics · Physics 2010-11-16 Jean-Christophe Géminard , Eric Bertin

We explore dynamic structural superlubricity for the case of a relatively large contact area, where the friction force is proportional to the area (exceeding $\sim 100\,nm^2$) experimentally, numerically, and theoretically. We use a setup…

Experimental measurements of the surface tension of colloidal interfaces have long been in conflict with computer simulations. In this work we show that the surface tension of colloids as measured by surface fluctuations picks up a gravity…

Soft Condensed Matter · Physics 2023-09-28 Luis G. MacDowell

A computationally efficient method to calculate the capillary pressure-saturation relations of immiscible multiphase flow on two-dimensional pore morphologies is presented here. The method is an extension of the Pore Morphology Method that…

Soft Condensed Matter · Physics 2025-01-14 Fernando Alonso-Marroquin , Martin P. Andersson

The description of free surface flows can often be simplified to thin film (or lubrication) equations, when the slopes of the liquid-gas interface are small. Here we present a long wavelength theory that remains fully quantitative for steep…

Fluid Dynamics · Physics 2007-05-23 Jacco H. Snoeijer

Using the integral transformation, the field-theoretical Hamiltonian of the statistical field theory of fluids is obtained, along with the microscopic expressions for the coefficients of the Hamiltonian. Applying this approach to the…

Statistical Mechanics · Physics 2020-05-06 Nikolai V. Brilliantov , J. Miguel Rubi , Yury A. Budkov

We propose a topological approach suitable to establish a connection between thermodynamics and topology in the microcanonical ensemble. Indeed, we report on results that point to the possibility of describing {\it interacting classical…

Statistical Mechanics · Physics 2017-02-01 F A N Santos , L C B da Silva , M D Coutinho-Filho

A fluid in contact with a flat structureless wall constitutes the simplest interface system, but the fluid-wall interfacial tension cannot be trivially and even unequivocally determined due to the ambiguity in identifying the precise…

Soft Condensed Matter · Physics 2023-12-25 Longfei Li , Mingcheng Yang

The liquid shape between two vertical parallel plates in a gravity field due to capillary forces is studied. When the physical system achieves its mechanical equilibrium, the capillary surface has mean curvature proportional to its height…

Differential Geometry · Mathematics 2015-06-26 Rafael López

We consider the capillary-gravity water wave equation in two dimensions. We assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. We construct an energy functional and prove a local wellposedness…

Analysis of PDEs · Mathematics 2020-12-25 Siddhant Agrawal

We consider the contribution of thermal capillary waves to the interaction between a fluid-fluid interface and a nearby nanoparticle. Fluctuations are described thanks to an effective interaction potential which is derived using the…

Soft Condensed Matter · Physics 2019-12-20 Thomas Bickel

Capillary interfaces subjected to impulsive forcing arise in many natural and technological systems, yet the pathway by which rapid substrate motion is converted into droplet detachment remains unclear. Here we study this process in a…

Fluid Dynamics · Physics 2026-04-30 Dilip Kr. Maity , Sandip Dighe , Nilamani Sahoo , Tadd Truscott

Janus particles have attracted significant interest as building blocks for complex materials in recent years. Furthermore, capillary interactions have been identified as a promising tool for directed self-assembly of particles at…

Soft Condensed Matter · Physics 2015-03-13 Qingguang Xie , Gary B. Davies , Florian Günther , Jens Harting

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

We ground the asymmetry of causal relations in the internal physical states of a special kind of open and irreversible physical system, a causal agent. A causal agent is an autonomous physical system, maintained in a steady state, far from…

History and Philosophy of Physics · Physics 2023-06-05 G. J. Milburn , S. Shrapnel , P. W. Evans

We consider a three dimensional liquid drop sitting on a rough and chemically heterogeneous substrate. Using a novel minimization technique on the free energy of this system, a generalized Young's equation for the contact angle is found. In…

Soft Condensed Matter · Physics 2007-05-23 P. S. Swain , Reinhard Lipowsky

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

Materials Science · Physics 2013-04-02 T. Frolov , Y. Mishin