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In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on $\mathbb{R}^n$ defined by two coupled phase fields $u,v$. The first phase field $u$ is the…

偏微分方程分析 · 数学 2024-07-24 Benjamin Lledos , Roberta Marziani , Heiner Olbermann

We develop a phase-field model for evaporation from a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases…

偏微分方程分析 · 数学 2024-07-26 Tufan Ghosh , Carina Bringedal , Christian Rohde , Rainer Helmig

Using an interface displacement model derived from a microscopic density functional theory we investigate thin liquidlike wetting layers adsorbed on flat substrates with an embedded chemical heterogeneity forming a stripe. For a wide range…

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

To model mechanically-driven phase transformations using the phase-field theory, suitable models are needed for describing the mechanical fields related to individual phase-fields in the interfacial regions. They play a crucial role in…

A phase-field model that allows for quantitative simulations of low-speed eutectic and peritectic solidification under typical experimental conditions is developed. Its cornerstone is a smooth free-energy functional, designed so that the…

材料科学 · 物理学 2009-11-11 R. Folch , M. Plapp

In the manufacturing process of high-performance particulate materials, viscous sintering plays a crucial role, particularly in fields such as polymer processing and additive manufacturing. The interactions between microscopic particles,…

计算工程、金融与科学 · 计算机科学 2024-12-06 Xiaoxu Dai , Bo Qian , Arkadz Kirshtein , Qingcheng Yang

A moving contact line occurs at the intersection of an interface formed between two immiscible liquids and a solid. According to viscous theory, the flow is entirely governed by just two parameters, the viscosity ratio, $\lambda$, and the…

流体动力学 · 物理学 2024-01-18 Charul Gupta , Lakshmana D Chandrala , Harish N Dixit

In this paper the development of a physically consistent phase-field theory of solidification shrinkage is presented. The coarse-grained hydrodynamic equations are derived directly from the N-body Hamiltonian equations in the framework of…

材料科学 · 物理学 2020-02-28 Gyula I. Toth , Wenyue Ma

The wetting behaviour of surfaces is important for various applications like super-hydrophobic surfaces, enhanced oil recovery, mining of metal ores and anti-icing surfaces etc. For rough surfaces, which are the rule rather than the…

流体动力学 · 物理学 2023-03-17 Pawan Kumar , Dalton J. E. Harvie

The modeling of crack propagation in a heterogeneous material using a phase field model is studied numerically in a simple test case: the crack meets a wedge of higher fracture energy. It is shown that when the crack cannot enter the wedge,…

材料科学 · 物理学 2021-08-24 Hervé Henry

We present in this Letter a free-energy approach to the dynamics of a fluid near a nanostructured surface. The model accounts both for the static phase equilibrium in the vicinity of the surface (wetting angles, Cassie-Wenzel transition)…

软凝聚态物质 · 物理学 2016-09-08 Thierry Biben , Laurent Joly

The hydrodynamic phase field model is applied to the problem of film spreading on a solid surface. The disjoining potential, responsible for modification of the fluid properties near a three-phase contact line, is computed from the…

流体动力学 · 物理学 2009-11-06 Len M. Pismen , Yves Pomeau

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

软凝聚态物质 · 物理学 2010-11-22 Janne Juntunen , Juha Merikoski

Phase field theory is widely used to model multi-phase flows. A drop can shrink or grow spontaneously due to the redistribution of interface and bulk energies to minimize the system energy. In this paper, the spontaneous behaviour of a drop…

流体动力学 · 物理学 2019-12-18 Chunhua Zhang , Zhaoli Guo

The Phase-Field Method (PFM) is employed to simulate two-phase flows with the fully-coupled Cahn-Hilliard-Navier-Stokes (CHNS) equations governing the temporal evolution. The methodology minimizes the total energy functional, accounting for…

流体动力学 · 物理学 2025-07-29 Ali Mostafavi , Mohammadmahdi Ranjbar , Vitaliy Yurkiv , Alexander L. Yarin , Farzad Mashayek

We analyze numerically a moving interface in the random-field Ising model which is driven by a magnetic field. Without thermal fluctuations the system displays a depinning phase transition, i.e., the interface is pinned below a certain…

统计力学 · 物理学 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

Drops on a free-flow/porous-medium-flow interface have a strong influence on the exchange of mass, momentum and energy between the two macroscopic flow regimes. Modeling droplet-related pore-scale processes in a macro-scale context is…

计算物理 · 物理学 2021-03-17 Sina Ackermann , Carina Bringedal , Rainer Helmig

This paper proposes a diffuse-interface model for simulating gas-liquid-solid multiphase flows involving solid-liquid phase change, solute transport, and the Marangoni effect. In this model, a phase-field method is employed to capture the…

流体动力学 · 物理学 2025-11-13 Jiangxu Huang , Zhenhua Chai , Xi Liu , Changsheng Huang

Abstract. The present work considers a change in the momentum under the transfer of a solution through the interface. It is shown that pressure related to the partial volumes of components arises in a solution under diffusion. As a result,…

统计力学 · 物理学 2021-02-16 Alex Guskov

Dissipative phase transitions are characteristic features in open quantum systems. Key signatures are the dynamical switching between different states in the vicinity of the phase transition and the appearance of hysteresis. Here, we…

量子气体 · 物理学 2024-07-03 Marvin Röhrle , Jens Benary , Erik Bernhart , Herwig Ott