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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

We develop and analyze a two-mode phase-field-crystal model to describe fcc ordering. The model is formulated by coupling two different sets of crystal density waves corresponding to <111> and <200> reciprocal lattice vectors, which are…

材料科学 · 物理学 2010-07-01 Kuo-An Wu , Ari Adland , Alain Karma

The phase-field-crystal model for liquid crystals is solved numerically in two spatial dimensions. This model is formulated with three position-dependent order parameters, namely the reduced translational density, the local nematic order…

软凝聚态物质 · 物理学 2014-01-28 Cristian Vasile Achim , Raphael Wittkowski , Hartmut Löwen

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

In this work, phase diagrams of a modified two-mode phase-field crystal (PFC) that show two-dimensional (2D) and three-dimensional (3D) crystallographic structures were determined by utilizing a free energy minimization method. In this…

材料科学 · 物理学 2017-06-06 Arezoo Emdadi , Mohsen Asle Zaeem , Ebrahim Asadi

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

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

Phase field crystal (PFC) models constitute a field theoretical approach to solidification, melting and related phenomena at atomic length and diffusive time scales. One of the advantages of these models is that they naturally contain…

材料科学 · 物理学 2015-06-18 V. Heinonen , C. V. Achim , K. R. Elder , S. Buyukdagli , T. Ala-Nissila

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

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

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

By using a phase-field crystal (PFC) model, the liquid-crystal growth of the plastic triangular phase is simulated with emphasis on crystal shape and topological defect formation. The equilibrium shape of a plastic triangular crystal (PTC)…

软凝聚态物质 · 物理学 2017-08-07 Sai Tang , Simon Praetorius , Rainer Backofen , Axel Voigt , Yan-Mei Yu , Jincheng Wang

Phase-Field Crystal (PFC) models are able to resolve atomic length scale features of materials during temporal evolution over diffusive time scales. Traditional PFC models contain solid and liquid phases, however many important materials…

材料科学 · 物理学 2015-06-16 Edwin J. Schwalbach , James A. Warren , Kuo-An Wu , Peter W. Voorhees

Using a generalized order parameter gradient expansion within density functional theory, we derive a phase-field-crystal model for liquid crystals composed by apolar particles in three spatial dimensions. Both the translational density and…

软凝聚态物质 · 物理学 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

A modified phase field crystal model in which the free energy may be minimised by an order parameter profile having isolated bumps is investigated. The phase diagram is calculated in one and two dimensions and we locate the regions where…

软凝聚态物质 · 物理学 2012-08-31 Mark J. Robbins , Andrew J. Archer , Uwe Thiele , Edgar Knobloch

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 nonlocal phase-field crystal (NPFC) model is presented as a nonlocal counterpart of the local phase-field crystal (LPFC) model and a special case of the structural PFC (XPFC) derived from classical field theory for crystal growth and…

数值分析 · 数学 2026-05-20 Qiang Du , Kai Wang , Jiang Yang

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

Material properties controlled by evolving defect structures, such as mechanical response, often involve processes spanning many length and time scales which cannot be modeled using a single approach. We present a variety of new results…

材料科学 · 物理学 2015-06-19 Joel Berry , Nikolas Provatas , Jörg Rottler , Chad W. Sinclair

We present a phase-field crystal (PFC) model for solidification that accounts for thermal transport and a temperature-dependent lattice parameter. Elasticity effects are characterized through the continuous elastic field computed from the…

材料科学 · 物理学 2023-01-26 Maik Punke , Steven M. Wise , Axel Voigt , Marco Salvalaglio
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