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We apply a simple dynamical density functional theory, the phase-field-crystal (PFC) model, to describe homogeneous and heterogeneous crystal nucleation in 2d monodisperse colloidal systems and crystal nucleation in highly compressed Fe…

材料科学 · 物理学 2015-05-18 László Gránásy , György Tegze , Gyula I. Tóth , Tamás Pusztai

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

The conserved Swift-Hohenberg equation (or Phase-Field-Crystal [PFC] model) provides a simple microscopic description of the thermodynamic transition between fluid and crystalline states. Combining it with elements of the Toner-Tu theory…

斑图形成与孤子 · 物理学 2018-09-18 Lukas Ophaus , Svetlana V. Gurevich , Uwe Thiele

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

This paper introduces a new structural phase field crystal (PFC) type model that expands the PFC methodology to a wider class of structurally complex crystal structures than previously possible. Specifically, our new approach allows for…

材料科学 · 物理学 2016-02-03 Matthew Seymour , Nikolas Provatas

The phase-field crystal (PFC) model describes crystal structures at diffusive timescales through a periodic, microscopic density field. It has been proposed to model elasticity in crystal growth and encodes most of the phenomenology related…

材料科学 · 物理学 2025-01-23 Maik Punke , Marco Salvalaglio

Based on static and dynamical density functional theory, a phase-field-crystal model is derived which involves both the translational density and the orientational degree of ordering as well as a local director field. The model exhibits…

软凝聚态物质 · 物理学 2015-05-19 Hartmut Löwen

A general formulation is presented to derive the equation of motion and to demonstrate thermodynamic consistency for several classes of phase field models at once. It applies to models with a conserved phase field, describing either uniform…

材料科学 · 物理学 2011-05-06 Mowei Cheng , Stefaan Cottenier , Heike Emmerich

We report on a novel extension of the recent phase-field crystal (PFC) method introduced in [Elder et al., Phys. Rev. Lett., Vol. 88, 245701:1-4 (2002)], which incorporates elastic interactions as well as crystal plasticity and diffusive…

材料科学 · 物理学 2009-11-11 Peter Stefanovic , Mikko Haataja , Nikolas Provatas

We discuss an active phase field crystal (PFC) model that describes a mixture of active and passive particles. First, a microscopic derivation from dynamical density functional theory (DDFT) is presented that includes a systematic treatment…

软凝聚态物质 · 物理学 2022-10-26 Michael te Vrugt , Max Philipp Holl , Aron Koch , Raphael Wittkowski , Uwe Thiele

Phase field crystal (PFC) theory, extensively used for modelling the structure of solids, can be derived from dynamical density functional theory (DDFT) via a sequence of approximations. Standard derivations neglect a term of form…

软凝聚态物质 · 物理学 2019-09-04 Andrew J. Archer , Daniel J. Ratliff , Alastair M. Rucklidge , Priya Subramanian

Phase field crystals (PFC) are a tool for simulating materials at the atomic level. They combine the small length-scale resolution of molecular dynamics (MD) with the ability to simulate dynamics on mesoscopic time scales. We show how PFC…

材料科学 · 物理学 2015-05-13 P. F. Tupper , Martin Grant

Phase field crystal (PFC) models constitute central tools for a microscopic understanding of the dynamics of complex systems in soft matter physics. They have found widespread application in the modeling of the uniaxial orientational…

软凝聚态物质 · 物理学 2026-01-22 Anouar El Moumane , René Wittmann , Hartmut Löwen , Michael te Vrugt

The phase-field crystal model (PFC) describes crystal structures at diffusive timescales through a periodic order parameter representing the atomic density. One of its main features is that it naturally incorporates elastic and plastic…

材料科学 · 物理学 2023-07-07 Maik Punke , Vidar Skogvoll , Marco Salvalaglio

The phase field crystal (PFC) model captures the elastic and topological properties of crystals with a single scalar field at small undercooling. At large undercooling, new foam-like behavior emerges. We characterize this foam phase of the…

斑图形成与孤子 · 物理学 2015-05-18 Nicholas Guttenberg , Nigel Goldenfeld , Jonathan Dantzig

An overview of theoretical results and experimental data on the thermodynamics, structure and dynamics of the heterophase glass-forming liquids is presented. The theoretical approach is based on the mesoscopic heterophase fluctuations model…

软凝聚态物质 · 物理学 2015-01-13 A. S. Bakai

The phase field crystal (PFC) method has emerged as a promising technique for modeling materials with atomistic resolution on mesoscopic time scales. The approach is numerically much more efficient than classical density functional theory…

材料科学 · 物理学 2015-05-18 Michael Greenwood , Nikolas Provatas , Jörg Rottler

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

We study the nonlinear driven response and sliding friction behavior of the phase-field-crystal (PFC) model with pinning including both thermal fluctuations and inertial effects. The model provides a continuous description of adsorbed…

材料科学 · 物理学 2016-09-08 J. A. P. Ramos , E. Granato , S. C. Ying , C. V. Achim , K. R. Elder , T. Ala-Nissila

We introduce a non-isothermal phase-field crystal model including heat flux and thermal expansion of the crystal lattice. The thermal compatibility condition, as well as a positive entropy-production property, is derived analytically and…

材料科学 · 物理学 2025-01-23 Maik Punke , Marco Salvalaglio , Axel Voigt , Steven M. Wise