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相关论文: Eighth-order phase-field-crystal model for two-dim…

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A phase-field crystal model based on the density-field approach incorporating high-order interparticle direct correlations is developed to study vapor-liquid-solid coexistence and transitions within a single continuum description.…

材料科学 · 物理学 2020-10-21 Zi-Le Wang , Zhirong Liu , Zhi-Feng Huang , Wenhui Duan

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 new phase field crystal model for structural transformations in multi-component alloys. The formalism builds upon the two-point correlation kernel developed in Greenwood et al. for describing structural transformations in pure…

The phase-field method has become in recent years the method of choice for simulating microstructural pattern formation during solidification. One of its main advantages is that time-dependent three-dimensional simulations become feasible.…

材料科学 · 物理学 2007-05-23 M. Dejmek , R. Folch , A. Parisi , M. Plapp

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

软凝聚态物质 · 物理学 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

We propose a computationally-efficient approach to multiscale simulation of polycrystalline materials, based on the phase field crystal (PFC) model. The order parameter describing the density profile at the nanoscale is reconstructed from…

材料科学 · 物理学 2009-11-11 Nigel Goldenfeld , Badrinarayan P. Athreya , Jonathan A. Dantzig

We demonstrate that the phase transition from columnar-hexagonal liquid crystal to hexagonal-crystalline solid falls into an unusual universality class, which in three-dimensional allows for both discontinuous transitions as well as…

软凝聚态物质 · 物理学 2009-11-13 Gregory M. Grason

We apply the phase field crystal model to study the structure and energy of symmetric tilt grain boundaries of bcc iron in 3D. The parameters for the model are obtained by using a recently developed eight-order fitting scheme [A. Jaatinen…

材料科学 · 物理学 2010-06-29 A. Jaatinen , C. V. Achim , K. R. Elder , T. Ala-Nissila

In a recent paper ["Cluster Model of Decagonal Tilings" (to be published in Phys. Rev. B)], we have introduced a cluster model for decagonal tilings in two dimensions. This model is now extended to three dimensions. Two-dimensional tilings…

凝聚态物理 · 物理学 2007-05-23 Michael Reichert , Franz Gähler

Atomically thin 2-dimensional heterostructures are a promising, novel class of materials with groundbreaking properties. The possiblity of choosing the many constituent components and their proportions allows optimizing these materials to…

介观与纳米尺度物理 · 物理学 2019-10-23 Petri Hirvonen , Vili Heinonen , Haikuan Dong , Zheyong Fan , Ken R. Elder , Tapio Ala-Nissila

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

软凝聚态物质 · 物理学 2012-07-17 H. H. Wensink , R. L. C. Vink

The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes the thermodynamic state and an orientation field that…

材料科学 · 物理学 2015-06-05 Hervé Henry , Jesper Mellenthin , Mathis Plapp

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

We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that…

材料科学 · 物理学 2009-11-10 Jean-Marc Debierre , Alain Karma , Franck Celestini , Rahma Guerin

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

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

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

In contrast to three-dimensional (3D) crystals that melt via a first-order transition, two-dimensional (2D) crystals can exhibit various melting scenarios under different temperatures, pressures, and particle interactions, particularly when…

材料科学 · 物理学 2024-10-16 Peng Hua , Yilong Han

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

We investigate the dynamical evolution of a thermodynamically unstable crystal surface into a hill-and-valley structure. We demonstrate that, for quasi one-dimensional ordering, the equation of motion maps exactly to the modified…

凝聚态物理 · 物理学 2009-10-22 Fong Liu , H. Metiu