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In this study, an alloy phase-field model is used to simulate solidification microstructures at different locations within a solidified molten pool. The temperature gradient $G$ and the solidification velocity $V$ are obtained from a…

材料科学 · 物理学 2017-06-12 Supriyo Ghosh , Li Ma , Nana Ofori-Opoku , Jonathan E. Guyer

Various biological and chemical processes lead to the nucleation and growth of non-wetting fluid bubbles within the pore space of a granular medium, such as the formation of gas bubbles in liquid-saturated lake-bed sediments. In…

软凝聚态物质 · 物理学 2022-05-13 Oliver W. Paulin , Liam C. Morrow , Matthew G. Hennessy , Christopher W. MacMinn

A new formulation of the Phase Field Crystal model is presented that is consistent with the necessary microscopic independence between the phase field, reflecting the broken symmetry of the phase, and both mass density and elastic…

材料科学 · 物理学 2020-09-09 Amit Acharya , Jorge Viñals

Colloid-polymer mixtures are an archetype for modeling phase transition processes, as they a exhibit low-density gas phase, high-density crystalline phase and an intervening liquid phase. While their equilibrium behavior has been studied…

软凝聚态物质 · 物理学 2024-12-18 Lauren Barnes , Boris Khusid , Lou Kondic , William V. Meyer , Anand U. Oza

Even though our theoretical understanding of dendritic solidification is relatively well developed, our current ability to model this process quantitatively remains extremely limited. This is due to the fact that the morphological…

材料科学 · 物理学 2007-05-23 Jean Bragard , Alain Karma , Youngyih H. Lee , Mathis Plapp

In this paper the relationship between the density functional theory of freezing and phase field modeling is examined. More specifically a connection is made between the correlation functions that enter density functional theory and the…

材料科学 · 物理学 2007-05-23 K. R. Elder , Nikolas Provatas , Joel Berry , Peter Stefanovic , Martin Grant

The dynamics of a thin layer of liquid, between a flat solid substrate and an infinitely-thick layer of saturated vapor, is examined. The liquid and vapor are two phases of the same fluid, governed by the diffuse-interface model. The…

统计力学 · 物理学 2021-09-27 E. S. Benilov

A particle dynamics-based hybrid model, consisting of monodisperse spherical solid particles and volume-averaged gas hydrodynamics, is used to study traveling planar waves (one-dimensional traveling waves) of voids formed in gas-fluidized…

软凝聚态物质 · 物理学 2007-05-23 Sung Joon Moon , I. G. Kevrekidis , S. Sundaresan

We study equilibrium properties of polymer films and droplets on a solid substrate employing particle-based simulation techniques (Molecular Dynamics) and a continuum description. Parameter-passing techniques are explored that facilitate a…

软凝聚态物质 · 物理学 2013-03-25 Nikita Tretyakov , Marcus Müller , Desislava Todorova , Uwe Thiele

We present a detailed derivation and thin interface analysis of a phase-field model that can accurately simulate microstructural pattern formation for low-speed directional solidification of a dilute binary alloy. This advance with respect…

材料科学 · 物理学 2009-11-10 Blas Echebarria , Roger Folch , Alain Karma , Mathis Plapp

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

A continuum density-field formulation with particle-scale resolution is constructed to simultaneously incorporate the orientation dependence of interparticle interactions and the rotational invariance of the system, a fundamental but…

材料科学 · 物理学 2018-05-28 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang

Kinetics of phase separation in a three dimensional single-component Lennard-Jones fluid, that exhibits vapor-liquid transition, is studied via molecular dynamics simulations after quenching homogeneous systems, of different overall…

统计力学 · 物理学 2018-03-09 Sutapa Roy , Subir K. Das

Three different topics in phase-field modelling of solidification are discussed, with particular emphasis on the limitations of the currently available modelling approaches. First, thin-interface limits of two-sided phase-field models are…

材料科学 · 物理学 2015-05-18 Mathis Plapp

We propose a novel phase-field model for solute precipitation and dissolution in liquid solutions. Unlike in previous studies with similar scope, in our model the two non-linear coupled governing equations of the problem, which deliver the…

计算物理 · 物理学 2025-07-18 Andrea Lamperti , Laura De Lorenzis

By means of path integral- Monte Carlo, we study the finite-temperature behavior of the extended Bose-Hubbard model with cavity-mediated long-range interactions at unit filling. At zero temperature, the system supports superfluid,…

量子气体 · 物理学 2026-03-10 Wei-Wei Wang , Jin Yang , Barbara Capogrosso-Sansone , Jian-Ping Lv , Chao Zhang

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

数值分析 · 数学 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde

This paper proposes a thermodynamically consistent phase-field damage model for viscoelastic materials. Suitable free-energy and pseudo-potentials of dissipation are developed to build a model leading to a stress-strain relation, under the…

The present work proposes an approach for fluid-solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several arbitrarily-shaped, undeformable…

计算工程、金融与科学 · 计算机科学 2021-09-14 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction-diffusion equations with singular diffusion forced by a…

概率论 · 数学 2026-01-12 Amjad Saef , Wilhelm Stannat