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A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interfaces as well as volume diffusion. Simulations reveal that…

材料科学 · 物理学 2008-09-04 Lynda Amirouche , Mathis Plapp

Soft modulated phases have been shown to undergo complex morphological transitions, in which layer remodeling induced by mean and Gaussian curvatures plays a major role. This is the case in smectic films under thermal treatment, where focal…

软凝聚态物质 · 物理学 2020-08-03 Eduardo Vitral , Perry H. Leo , Jorge Viñals

The phase-field method is reviewed from the general perspective of converting a free boundary problem into a set of coupled partial differential equations. Its main advantage is that it avoids front tracking by using phase fields to locate…

On the basis of a previous theoretical approach to the plastic flow of highly refined materials, a physical explanation for diffusion bonding is essayed, which yields closed--form equations relating the bonding progress with time,…

材料科学 · 物理学 2010-07-02 Miguel Lagos , César Retamal

Multiphase flows are commonly found in chemical engineering processes such as distillation columns, bubble columns, fluidized beds and heat exchangers. The physical boundaries of domains in numerical simulations of multiphase flows are…

流体动力学 · 物理学 2023-04-21 Tanyakarn Treeratanaphitak , Nasser Mohieddin Abukhdeir

We characterize both analytically and numerically short-range forces between spatially diffuse interfaces in multi-phase-field models of polycrystalline materials. During late-stage solidification, crystal-melt interfaces may attract or…

材料科学 · 物理学 2015-05-14 N. Wang , R. Spatschek , A. Karma

Accurate representation of interfaces and flux exchange is vital for coupled multiphysics simulations across a broad range of applications. Currently, coupling approaches are limited by the underlying discretization or to specific physical…

流体动力学 · 物理学 2026-03-10 Ethan Huff , Savio J. Poovathingal

Unresolved thin-film dynamics often causes spurious coalescence in diffuse-interface simulations of multiphase flows. We address this issue by introducing a fully local repulsive near-contact flux in a conservative Allen--Cahn phase-field…

流体动力学 · 物理学 2026-03-19 Andrea Montessori , Maria Rosa Lisboa , Marco Lauricella , Sauro Succi

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 new phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the…

凝聚态物理 · 物理学 2007-05-23 Kalin Vetsigian , Nigel Goldenfeld

The structure of many multiphase systems is governed by an energy that penalizes the area of interfaces between phases weighted by surface tension coefficients. However, interface evolution laws depend also on interface mobility…

最优化与控制 · 数学 2018-05-09 Elie Bretin , Alexandre Danescu , José Penuelas , Simon Masnou

We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field…

材料科学 · 物理学 2009-10-31 Yung-Tae Kim , Nikolas Provatas , Nigel Goldenfeld , Jonathan Dantzig

The rapid solidification of a binary mixture in the region of the interface velocities $V$ close to the diffusion speed in the bulk of the liquid phase $V_D$ is considered within the framework of the local nonequilibrium approach. In this…

材料科学 · 物理学 2021-07-12 G. L. Buchbinder

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

统计力学 · 物理学 2017-03-01 Eial Teomy , Yair Shokef

The kinetics of interfaces in alloy solidification pose a classic free boundary problem. This paper introduces an approach that amalgamates the distinctive characteristics of sharp and diffuse interface models. The motion of the diffuse…

材料科学 · 物理学 2024-05-31 Chuanqi Zhu , Yuichiro Koizumi

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

计算物理 · 物理学 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

Boundary conditions for the solid-liquid interface of the solidifying pure melt have been derived. In the derivation the model of Gibbs interface is used. The boundary conditions include both the state quantities of bulk phases are taken at…

材料科学 · 物理学 2016-11-02 Gennady Buchbinder , Peter Galenko

We present a unified description of interface kinetic effects in phase field models for isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy. The phase field equations of motion incorporate a kinetic…

材料科学 · 物理学 2015-06-16 G. Boussinot , Efim A. Brener

This article covers thermodynamic, dynamic, and kinetic models that are suitable for the analysis of wetting, adsorption, and related interfacial phenomena in colloidal and multiphase systems. Particular emphasis is made on describing…

软凝聚态物质 · 物理学 2025-09-03 Carlos E. Colosqui

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

材料科学 · 物理学 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari