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We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that…

材料科学 · 物理学 2009-11-10 Jean-Marc Debierre , Alain Karma , Franck Celestini , Rahma Guerin

This paper concerns modeling of the evolution of intermittency region between two weakly miscible phases due to temporal and spatial variations of its characteristic length scale. First, the need of a more general description allowing for…

流体动力学 · 物理学 2020-09-29 Tomasz Wacławczyk

A limited mobility nonequilibrium solid-on-solid dynamical model for kinetic surface growth is introduced as a simple description for the morphological evolution of a growing interface under random vapor deposition and surface diffusion…

统计力学 · 物理学 2007-05-23 S. Das Sarma , P. Punyindu

The multi-phase-field approach is generalized to treat capillarity-driven diffusion parallel to the surfaces and phase-boundaries, i.e. the boundaries between a condensed phase and its vapor and the boundaries between two or multiple…

介观与纳米尺度物理 · 物理学 2017-07-19 Raphael Schiedung , Reza Darvishi Kamachali , Ingo Steinbach , Fathollah Varnik

We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

数值分析 · 数学 2026-04-29 Weijie Huang , Xinran Ruan

The reliability of any day-to-day material is critically dictated by its properties. One factor which governs the behaviour of a material, under a given condition, is the microstructure. Despite the absence of any phase transformation, a…

材料科学 · 物理学 2019-06-26 P G Kubendran Amos

The hindered diffusion model is introduced. It is a continuum model giving the dynamics of a conserved density. Similar to the spin-facilitated models, the kinetics are hindered by a fluctuating diffusion coefficient that decreases as the…

统计力学 · 物理学 2007-05-23 Gene F Mazenko

Phase field modelling offers an extremely general framework to predict microstructural evolutions in complex systems. However, its computational implementation requires a discretisation scheme with a grid spacing small enough to preserve…

计算物理 · 物理学 2018-07-18 Alphonse Finel , Yann Le Bouar , Benoît Dabas , Benoît Appolaire

In this work, we proposed a diffuse interface model for the dendritic growth with thermosolutal convection. In this model, the sharp boundary between the fluid and solid dendrite is replaced by a thin but nonzero thickness diffuse…

流体动力学 · 物理学 2023-05-17 Chengjie Zhan , Zhenhua Chai , Baochang Shi , Ping Jiang , Shaoning Geng , Dongke Sun

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

材料科学 · 物理学 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

统计力学 · 物理学 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

We construct a phase field model including hydrodynamics and elasticity in one-component systems. It can be used to investigate solid-liquid and liquid-liquid phase transitions. Upon first-order phase transition, a velocity field is induced…

软凝聚态物质 · 物理学 2015-03-13 Kyohei Takae , Akira Onuki

So far the problem of interface behavior upon phase transition has not yet acquired a satisfactory mathematical formulation due to a variety of the physical phenomena involved. Analytical solutions exist only for elementary problems…

统计力学 · 物理学 2011-08-12 Alex Guskov

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…

流体动力学 · 物理学 2025-04-29 Fandi Oktasendra , Michael Rennick , Samuel J. Avis , Jack R. Panter , Halim Kusumaatmaja

Voids develop in crystalline materials under energetic particle irradiation, as in nuclear reactors. Understanding the underlying mechanisms of void nucleation and growth is of utmost importance as it leads to dimensional instability of the…

材料科学 · 物理学 2024-05-24 Sreekar Rayaprolu , Kyle Starkey , Anter El-Azab

The diffuse interface model of Cahn-Hilliard-van der Waals is often used to study various aspects of multi-phase flows such as droplets coalescence and contact line dynamics. The original model of Cahn-Hilliard-van der Waals uses an…

流体动力学 · 物理学 2014-08-29 Lionel Hirschberg , Avraham Hirschberg

A dynamical model is proposed to describe the coupled decomposition and profile evolution of a free surface film of a binary mixture. An example is a thin film of a polymer blend on a solid substrate undergoing simultaneous phase separation…

流体动力学 · 物理学 2013-03-25 Uwe Thiele , Santiago Madruga , Lubor Frastia

The dynamics of an interface between the normal and superconducting phases under nonstationary external conditions is studied within the framework of the time-dependent Ginzburg-Landau equations of superconductivity, modified to include…

凝聚态物理 · 物理学 2009-10-22 Alan T. Dorsey

We introduce a phase-field method for continuous modeling of cracks with frictional contacts. Compared with standard discrete methods for frictional contacts, the phase-field method has two attractive features: (1) it can represent…

数值分析 · 数学 2020-01-29 Fan Fei , Jinhyun Choo

By analytically solving some simple models of phase-ordering kinetics, we suggest a mechanism for the onset of non-equilibrium behaviour in colloid-polymer mixtures. These mixtures can function as models of atomic systems; their physics…

软凝聚态物质 · 物理学 2016-08-31 R. M. L. Evans , W. C. K. Poon