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In a recent class of phase field crystal (PFC) models, the density order parameter is coupled to powers of its mean field. This effectively introduces a phenomenology of higher-order direct correlation functions acting on long wavelengths,…

材料科学 · 物理学 2024-08-21 Daniel L. Coelho , Duncan Burns , Emily Wilson , Nikolas Provatas

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 present thermodynamic relationships between the free energy of the phase-field crystal (PFC) model and thermodynamic state variables for bulk phases under hydrostatic pressure. This relationship is derived based on the thermodynamic…

材料科学 · 物理学 2015-02-09 Victor W. L. Chan , Nirand Pisutha-Arnond , Katsuyo Thornton

Direct correlation functions (DCFs), linked to the second functional derivative of the free energy with respect to the one-particle density, play a fundamental role in a statistical mechanics description of matter. This holds in particular…

软凝聚态物质 · 物理学 2021-08-25 S. -C. Lin , M. Oettel , J. M. Hring , R. Haussmann , M. Fuchs , G. Kahl

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 introduce a phase-field crystal model that creates an array of complex three- and two-dimensional crystal structures via a numerically tractable three-point correlation function. The three-point correlation function is designed in order…

材料科学 · 物理学 2017-11-15 Eli Alster , David Montiel , Katsuyo Thornton , Peter W. Voorhees

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 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

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

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

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

This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of…

材料科学 · 物理学 2024-04-16 Manas Vijay Upadhyay , Jorge Viñals

We apply a simple dynamical density functional theory, the phase-field crystal (PFC) model of overdamped conservative dynamics, to address polymorphism, crystal nucleation, and crystal growth in the diffusion-controlled limit. We refine the…

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

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

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

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo…

天体物理学 · 物理学 2009-11-07 Masahiro Takada , Bhuvnesh Jain

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 three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions…

统计力学 · 物理学 2008-09-12 Gregoire Misguich , Vincent Pasquier , Fabien Alet

A free energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to investigate the crystallization of fluids in three-dimensions. The symmetry…

软凝聚态物质 · 物理学 2015-06-15 Atul S. Bharadwaj , Swarn L. Singh , Yashwant Singh

The dynamics of phase field crystal (PFC) modeling is derived from dynamical density functional theory (DDFT), for both single-component and binary systems. The derivation is based on a truncation up to the three-point direct correlation…

材料科学 · 物理学 2015-05-19 Zhi-Feng Huang , K. R. Elder , Nikolas Provatas
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