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Directional solidification of water-based solutions has emerged as a versatile technique for templating hierarchical porous materials. However, the underlying mechanisms of pattern formation remain incompletely understood. In this work, we…

材料科学 · 物理学 2026-03-20 Kaihua Ji , Alain Karma

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 present study, a consistent and conservative Phase-Field model is developed to study thermo-gas-liquid-solid flows with liquid-solid phase change. The proposed model is derived with the help of the consistency conditions and exactly…

计算物理 · 物理学 2021-11-16 Ziyang Huang , Guang Lin , Arezoo M. Ardekani

A phase-field approach to the dynamics of liquid-solid interfaces that evolve due to precipitation and/or dissolution is presented. For the purpose of illustration and comparison with other methods, phase field simulations were carried out…

计算物理 · 物理学 2018-07-04 Zhijie Xu , Paul Meakin

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than…

材料科学 · 物理学 2016-08-31 Alain Karma

We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation describing the evolution of phase field and a Cahn-Hilliard…

数值分析 · 数学 2022-09-29 Xiaoxia Tang , Shuwang Li , John S. Lowengrub , Steven M. Wise

We study initial transient stages in directional solidification by means of a non-variational phase field model with fluctuations. This model applies for the symmetric solidification of dilute binary solutions and does not invoke…

材料科学 · 物理学 2016-08-16 R. Benítez , L. Ramírez-Piscina

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

A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

材料科学 · 物理学 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

The effect of nonequilibrium solute trapping by a growing solid under rapid solidification conditions is studied using a phase-field model. Considering a continuous steady-state concentration profile across the diffuse solid-liquid…

材料科学 · 物理学 2007-05-23 Denis Danilov , Britta Nestler

In this paper we describe a new model for solidification with heat flux using the phase field crystal (PFC) framework. The equations are thermodynamically consistent, in the sense that the time rate of change of the entropy density is…

材料科学 · 物理学 2021-07-13 C. Wang , S. M. Wise

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

计算物理 · 物理学 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

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

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

We introduce a new phase-field model which allows for simulation of incoherent solid/solid transformations. Contrary to previous models which impose coherency at the interface, the zero shear-stress condition characteristic of incoherent…

材料科学 · 物理学 2007-05-23 Jerome Paret

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

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

流体动力学 · 物理学 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi

A new phase field crystal (PFC) type theory is presented, which accounts for the full spectrum of solid-liquid-vapor phase transitions within the framework of a single density order parameter. Its equilibrium properties show the most…

材料科学 · 物理学 2015-06-23 Gabriel Kocher , Nikolas Provatas

We further develop a recently introduced phase-field model of rapid alloy solidification [Ji et al., PRL 2023]. This model utilizes enhanced solute diffusivity within the spatially diffuse interface region to quantitatively capture solute…

材料科学 · 物理学 2025-08-11 Kaihua Ji , Mingwang Zhong , Alain Karma

We report an idealized numerical study of a melting and freezing solid adjacent to a turbulent, buoyancy-affected shear flow, in order to improve our understanding of topography generation by phase changes in the environment. We use the…

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