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相关论文: Phase-field-crystal models for condensed matter dy…

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While biological crystallization processes have been studied on the microscale extensively, models addressing the mesoscale aspects of such phenomena are rare. In this work, we investigate whether the phase-field theory developed in…

We introduce a Phase Field Crystal (PFC) model for particles with n-fold rotational symmetry in two dimensions. Our approach is based on a free energy functional that depends on the reduced one-particle density, the strength of the…

软凝聚态物质 · 物理学 2023-02-02 Robert F. B. Weigel , Michael Schmiedeberg

The anisotropic phase-field crystal model recently proposed and used by Prieler et al. [J. Phys.: Condens. Matter 21, 464110 (2009)] is derived from microscopic density functional theory for anisotropic particles with fixed orientation.…

材料科学 · 物理学 2015-05-27 Muhammad Ajmal Choudhary , Daming Li , Heike Emmerich , Hartmut Löwen

Effects of three-point direct correlation on properties of the phase field crystal (PFC) modeling are examined, for the control of various ordered and disordered phases and their coexistence in both three-dimensional and two-dimensional…

材料科学 · 物理学 2022-04-15 Zi-Le Wang , Zhirong Liu , Wenhui Duan , Zhi-Feng Huang

We describe a general method to model multicomponent ordered crystals using the phase-field crystal (PFC) formalism. As a test case, a generic B2 compound is investigated. We are able to produce a line of either first-order or second-order…

材料科学 · 物理学 2017-02-15 Eli Alster , K. R. Elder , Jeffrey J. Hoyt , Peter W. Voorhees

Computing stationary states is an important topic for phase field crystal (PFC) models. Great efforts have been made for energy dissipation of the numerical schemes when using gradient flows. However, it is always time-consuming due to the…

数值分析 · 数学 2019-09-04 Kai Jiang , Wei Si , Chenglong Bao

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

材料科学 · 物理学 2025-10-30 Jaehyeok Jin , David R. Reichman

A multiscale scheme combining molecular dynamics (MD) and microscopic phase-field theory is proposed to study the structural phase transformations in solids with inhomogeneous strain field. The approach calculates strain response based on…

材料科学 · 物理学 2007-05-23 Zhi-Rong Liu , Huajian Gao

An adpative integration technique for time advancement of particle motion in the context of coupled computational fluid dynamics (CFD) - discrete element method (DEM) simulations is presented in this work. CFD-DEM models provide an accurate…

计算物理 · 物理学 2018-02-28 Hariswaran Sitaraman , Ray Grout

Highly anisotropic interfaces play an important role in the development of material microstructure. Using the diffusive atomistic phase-field crystal (PFC) formalism, we determine the capability of the model to quantitatively describe these…

材料科学 · 物理学 2018-08-29 Nana Ofori-Opoku , James A. Warren , Peter W. Voorhees

The phase-field-crystal model is used to access the structure and thermodynamics of interfaces between two coexisting liquid crystalline phases in two spatial dimensions. Depending on the model parameters there is a variety of possible…

软凝聚态物质 · 物理学 2014-01-28 Simon Praetorius , Axel Voigt , Raphael Wittkowski , Hartmut Löwen

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

We consider a modification of the so-called phase-field crystal (PFC) equation introduced by K.R. Elder et al. This variant has recently been proposed by P. Stefanovic et al. to distinguish between elastic relaxation and diffusion time…

偏微分方程分析 · 数学 2013-06-26 Maurizio Grasselli , Hao Wu

In this work, we present a 3D Phase Field Dislocation Dynamics (PFDD) model for body-centered cubic (BCC) metals. The model formulation is extended to account for the dependence of the Peierls barrier on the line-character of the…

材料科学 · 物理学 2019-09-24 Xiaoyao Peng , Nithin Mathew , Irene J. Beyerlein , Kaushik Dayal , Abigail Hunter

The active phase-field-crystal (active PFC) model provides a simple microscopic mean field description of crystallization in active systems. It combines the PFC model (or conserved Swift-Hohenberg equation) of colloidal crystallization and…

软凝聚态物质 · 物理学 2021-03-10 Lukas Ophaus , Edgar Knobloch , Svetlana V. Gurevich , Uwe Thiele

Sintering is a pivotal technology for processing ceramic and metallic powders into solid objects. A profound understanding of microstructure evolution during sintering is essential for manufacturing products with tailored properties. While…

材料科学 · 物理学 2024-12-06 Qingcheng Yang , Arkadz Kirshtein

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

材料科学 · 物理学 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

Rapid solidification experiments on thin film aluminum samples reveal the presence of lattice orientation gradients within crystallizing grains. To study this phenomenon, a single-component phase-field crystal (PFC) model that captures the…

A general procedure to investigate the elastic response and calculate the elastic constants of stressed and unstressed materials through continuum field modeling, particularly the phase field crystal (PFC) models, is presented. It is found…

材料科学 · 物理学 2018-05-09 Zi-Le Wang , Zhi-Feng Huang , Zhirong Liu

This work overviews a new, recent success of phase-field modelling: its application to predicting the evolution of the corrosion front and the associated structural integrity challenges. Despite its important implications for society,…

化学物理 · 物理学 2024-06-24 E. Martínez-Pañeda