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A unification of characteristic mode decomposition for all method-of-moment formulations of field integral equations describing free-space scattering is derived. The work is based on an algebraic link between impedance and transition…

经典物理 · 物理学 2023-01-04 Mats Gustafsson , Lukas Jelinek , Kurt Schab , Miloslav Capek

Motivated by the drying pattern experiment by Yamazaki and Mizuguchi[J. Phys. Soc. Jpn. {\bf 69} (2000) 2387], we propose the dynamics of sweeping interface, in which material distributed over a region is swept by a moving interface. A…

统计力学 · 物理学 2007-06-26 Takuya Iwashita , Yumino Hayase , Hiizu Nakanishi

Moving-habitat models track the density of a population whose suitable habitat shifts as a consequence of climate change. Whereas most previous studies in this area consider 1-dimensional space, we derive and study a spatially 2-dimensional…

数值分析 · 数学 2023-12-14 Jane Shaw MacDonald , Yves Bourgault , Frithjof Lutscher

This paper is the second in a two-part exposition on {\it surface-directed spinodal decomposition} (SDSD), i.e., the interplay of kinetics of wetting and phase separation at a surface which is wetted by one of the components of a binary…

统计力学 · 物理学 2020-08-25 Prasenjit Das , Prabhat K. Jaiswal , Sanjay Puri

We report on the dewetting of a monolayer on a solid substrate, where mass transport occurs via surface diffusion. For a wide range of parameters, a labyrinthine pattern of bilayer islands is formed. An irreversible regime and a…

软凝聚态物质 · 物理学 2009-11-13 Olivier Pierre-Louis , Anna Chame , Yukio Saito

Hypothesis:Diffusion in confinement is an important fundamental problem with significant implications for applications of supported liquid phases. However, resolving the spatially dependent diffusion coefficient, parallel and perpendicular…

This paper presents an analytical investigation of the solutions to a control volume model for liquid films flowing down a vertical fibre. The evolution of the free surface is governed by a coupled system of degenerate nonlinear partial…

偏微分方程分析 · 数学 2024-02-13 Roman M. Taranets , Hangjie Ji , Marina Chugunova

We study the steady state structure and dynamics of a 2-d Ising interface placed in an inhomogeneous external field with a sigmoidal profile which moves with velocity $v_{e}$. In the strong coupling limit the problem maps onto an…

软凝聚态物质 · 物理学 2007-07-17 Abhishek Chaudhuri , Surajit Sengupta

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

流体动力学 · 物理学 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be assumed (e.g. in soil layers in contact with the atmosphere)…

数值分析 · 数学 2021-06-29 David Seus , Florin A. Radu , Christian Rohde

We consider mixtures of two species of spherical colloidal particles that differ in their hydrodynamic radii, but are otherwise identical, in the presence of an external field. Since the particle-particle and particle-field interactions are…

软凝聚态物质 · 物理学 2018-09-26 André S. Nunes , Akshat Gupta , Nuno A. M. Araújo , Margarida M. Telo da Gama

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

软凝聚态物质 · 物理学 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

A simple theoretical approach is used to investigate active colloids at the free interface and near repulsive substrates. We employ dynamical density functional theory to determine the steady-state density profiles in an effective…

软凝聚态物质 · 物理学 2017-02-03 René Wittmann , Joseph M. Brader

The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defects in materials. In this paper, we consider the full…

偏微分方程分析 · 数学 2022-01-07 Yuan Gao , Jean-Michel Roquejoffre

Using an interface displacement model we calculate the shapes of thin liquidlike films adsorbed on flat substrates containing a chemical stripe. We determine the entire phase diagram of morphological phase transitions in these films as…

软凝聚态物质 · 物理学 2009-10-31 C. Bauer , S. Dietrich

We report on a linear Langevin model that describes the evolution of the roughness of two interfaces that move towards each other and are coupled by a diffusion field. This model aims at describing the closing of the gap between two…

材料科学 · 物理学 2022-07-27 Bastien Marguet , F. D. A. Aarão Reis , Olivier Pierre-Louis

In binary mixtures, the lifetimes of surface bubbles can be five orders of magnitude longer than those in pure liquids because of slightly different compositions of the bulk and the surfaces, leading to a thickness-dependent surface tension…

软凝聚态物质 · 物理学 2024-02-16 A. Choudhury , L. Duchemin , F. Lequeux , L. Talini

A method of simulating the drying process of a soft matter solution with an implicit solvent model by moving the liquid-vapor interface is applied to various solution films and droplets. For a solution of a polymer and nanoparticles, we…

软凝聚态物质 · 物理学 2022-09-27 Yanfei Tang , John E. McLaughlan , Gary S. Grest , Shengfeng Cheng

In this work, we first propose a diffuse interface model for simulating N phase flows with solid liquid phase change. In this model, a phase field approach is adopted to capture multiphase fluid interfaces, and an enthalpy based formulation…

流体动力学 · 物理学 2026-03-25 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang , Xi Liu

We present a complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix-fracture interfaces, as well as…

数值分析 · 数学 2024-06-14 Francesco Bonaldi , Jérôme Droniou , Roland Masson