Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview

Director field in plastic crystals

(2012) P. Cremer et al.   EPL

Morphology of monolayer films on quasicrystalline surfaces from the phase field crystal model

(2012) Jörg Rottler et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Liquid-crystal-mediated self-assembly at nanodroplet interfaces

(2012) J. A. Moreno-Razo et al.   NATURE

Thermodynamic consistency and fast dynamics in phase-field crystal modeling

(2012) M. Cheng et al.   PHILOSOPHICAL MAGAZINE LETTERS

Multilayer thin film growth on crystalline and quasicrystalline surfaces: A phase-field crystal study

(2012) Srevatsan Muralidharan et al.   PHYSICAL REVIEW B

Description of hard-sphere crystals and crystal-fluid interfaces: A comparison between density functional approaches and a phase-field crystal model

(2012) M. Oettel et al.   PHYSICAL REVIEW E

Modeling the structure of liquids and crystals using one- and two-component modified phase-field crystal models

(2012) M. J. Robbins et al.   PHYSICAL REVIEW E

Heterogeneous Crystal Nucleation: The Effect of Lattice Mismatch

(2012) Gyula I. Tóth et al.   PHYSICAL REVIEW LETTERS

Patterning of Heteroepitaxial Overlayers from Nano to Micron Scales

(2012) K. R. Elder et al.   PHYSICAL REVIEW LETTERS

Tension and Stiffness of the Hard Sphere Crystal-Fluid Interface

(2012) A. Härtel et al.   PHYSICAL REVIEW LETTERS

Phase field crystal simulations of nanocrystalline grain growth in two dimensions

(2011) Kuo-An Wu et al.   ACTA MATERIALIA

Phase field model simulations of hydrogel dynamics under chemical stimulation

(2011) Daming Li et al.   COLLOID AND POLYMER SCIENCE

Three-dimensional phase-field crystal modeling of fcc and bcc dendritic crystal growth

(2011) Sai Tang et al.   JOURNAL OF CRYSTAL GROWTH

DDFT calibration and investigation of an anisotropic phase-field crystal model

(2011) Muhammad Ajmal Choudhary et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

A phase-field model for incoherent martensitic transformations including plastic accommodation processes in the austenite

(2011) J. Kundin et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

A Phase Field Crystal Approach for Particles in a Flowing Solvent

(2011) Simon Praetorius et al.   MACROMOLECULAR THEORY AND SIMULATIONS

Dynamical density functional theory for colloidal particles with arbitrary shape

(2011) Raphael Wittkowski et al.   MOLECULAR PHYSICS

A Continuous Approach to Discrete Ordering on $\mathbb{S}^2$

(2011) Rainer Backofen et al.   MULTISCALE MODELING & SIMULATION

Diffusive molecular dynamics and its application to nanoindentation and sintering

(2011) Ju Li et al.   PHYSICAL REVIEW B

Stability of liquid crystalline phases in the phase-field-crystal model

(2011) Cristian V. Achim et al.   PHYSICAL REVIEW E

Polar liquid crystals in two spatial dimensions: The bridge from microscopic to macroscopic modeling

(2011) Raphael Wittkowski et al.   PHYSICAL REVIEW E

Polydomain growth at isotropic-nematic transitions in liquid crystalline polymers

(2011) Shunsuke Yabunaka et al.   PHYSICAL REVIEW E

Microscopic and macroscopic theories for the dynamics of polar liquid crystals

(2011) Raphael Wittkowski et al.   PHYSICAL REVIEW E

Phase-field-crystal methodology for modeling of structural transformations

(2011) Michael Greenwood et al.   PHYSICAL REVIEW E

Solute trapping in rapid solidification of a binary dilute system: A phase-field study

(2011) P. K. Galenko et al.   PHYSICAL REVIEW E

Ginzburg-Landau-Type Multiphase Field Model for Competing fcc and bcc Nucleation

(2011) G. I. Tóth et al.   PHYSICAL REVIEW LETTERS

Amorphous Nucleation Precursor in Highly Nonequilibrium Fluids

(2011) Gyula I. Tóth et al.   PHYSICAL REVIEW LETTERS

Faceting and Branching in 2D Crystal Growth

(2011) György Tegze et al.   PHYSICAL REVIEW LETTERS

Modeling Multiple Time Scales during Glass Formation with Phase-Field Crystals

(2011) Joel Berry et al.   PHYSICAL REVIEW LETTERS

A continuum model of colloid-stabilized interfaces

(2011) Sebastian Aland et al.   PHYSICS OF FLUIDS

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Nucleation of colloidal crystals on configurable seed structures

(2011) M. Hermes et al.   Soft Matter

Heterogeneous crystallization of hard-sphere colloids near a wall

(2011) Kirill Sandomirski et al.   Soft Matter

Fundamental measure density functional theory for hard spherocylinders in static and time-dependent aligning fields

(2010) A Härtel et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Classical density functional theory methods in soft and hard matter

(2010) Mikko Haataja et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

A phase-field-crystal approach to critical nuclei

(2010) R Backofen et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Dynamic density functional theory versus kinetic theory of simple fluids

(2010) Umberto Marini Bettolo Marconi et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

DDFT for Brownian particles and hydrodynamics

(2010) M Rauscher   JOURNAL OF PHYSICS-CONDENSED MATTER

A phase-field-crystal model for liquid crystals

(2010) Hartmut Löwen   JOURNAL OF PHYSICS-CONDENSED MATTER

A phase field crystal study of epitaxial island formation on nanomembranes

(2010) K R Elder et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Controlling crystal symmetries in phase-field crystal models

(2010) Kuo-An Wu et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Extended phase diagram of the three-dimensional phase field crystal model

(2010) A Jaatinen et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Polymorphism, crystal nucleation and growth in the phase-field crystal model in 2D and 3D

(2010) Gyula I Tóth et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Tensorial density functional theory for non-spherical hard-body fluids

(2010) Hendrik Hansen-Goos et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Fundamental measure theory for hard-sphere mixtures: a review

(2010) Roland Roth   JOURNAL OF PHYSICS-CONDENSED MATTER

Directed Self-Assembly of Colloidal Dumbbells with an Electric Field

(2010) Ahmet Faik Demirörs et al.   LANGMUIR

Three-dimensional model of martensitic transformations with elasto-plastic effects

(2010) Julia Kundin et al.   PHILOSOPHICAL MAGAZINE

Density-amplitude formulation of the phase-field crystal model for two-phase coexistence in two and three dimensions

(2010) Dong-Hee Yeon et al.   PHILOSOPHICAL MAGAZINE

The Kirkendall effect in the phase field crystal model

(2010) K.R. Elder et al.   PHILOSOPHICAL MAGAZINE

Phase-field crystal modelling of crystal nucleation, heteroepitaxy and patterning

(2010) László Gránásy et al.   PHILOSOPHICAL MAGAZINE

Remarks on some open problems in phase-field modelling of solidification

(2010) Mathis Plapp   PHILOSOPHICAL MAGAZINE

Morphological instability, evolution, and scaling in strained epitaxial films: An amplitude-equation analysis of the phase-field-crystal model

(2010) Zhi-Feng Huang et al.   PHYSICAL REVIEW B

Amplitude equations for polycrystalline materials with interaction between composition and stress

(2010) Robert Spatschek et al.   PHYSICAL REVIEW B

Emergence of foams from the breakdown of the phase field crystal model

(2010) Nicholas Guttenberg et al.   PHYSICAL REVIEW E

Dynamical transitions and sliding friction of the phase-field-crystal model with pinning

(2010) J. A. P. Ramos et al.   PHYSICAL REVIEW E

Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory

(2010) Raphael Wittkowski et al.   PHYSICAL REVIEW E

Phase-field-crystal model for fcc ordering

(2010) Kuo-An Wu et al.   PHYSICAL REVIEW E

Phase-field-crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures

(2010) Zhi-Feng Huang et al.   PHYSICAL REVIEW E

Amplitude expansion of the binary phase-field-crystal model

(2010) K. R. Elder et al.   PHYSICAL REVIEW E

Phase-Field Crystal Modeling of Compositional Domain Formation in Ultrathin Films

(2010) Srevatsan Muralidharan et al.   PHYSICAL REVIEW LETTERS

Plasticity and Dislocation Dynamics in a Phase Field Crystal Model

(2010) Pak Yuen Chan et al.   PHYSICAL REVIEW LETTERS

Glassy Dislocation Dynamics in 2D Colloidal Dimer Crystals

(2010) Sharon J. Gerbode et al.   PHYSICAL REVIEW LETTERS

Free Energy Functionals for Efficient Phase Field Crystal Modeling of Structural Phase Transformations

(2010) Michael Greenwood et al.   PHYSICAL REVIEW LETTERS

Precursor-Mediated Crystallization Process in Suspensions of Hard Spheres

(2010) T. Schilling et al.   PHYSICAL REVIEW LETTERS

Tuning the structure of non-equilibrium soft materials by varying the thermodynamic driving force for crystal ordering

(2010) György Tegze et al.   Soft Matter

Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications

(2009) F. Roters et al.   ACTA MATERIALIA

Dynamical density functional theory for molecular and colloidal fluids: A microscopic approach to fluid mechanics

(2009) A. J. Archer   JOURNAL OF CHEMICAL PHYSICS

Derivation of dynamical density functional theory using the projection operator technique

(2009) Pep Español et al.   JOURNAL OF CHEMICAL PHYSICS

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

(2009) Z. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Effect of noise-induced nucleation on grain size distribution studied via the phase-field crystal method

(2009) J Hubert et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Solid–liquid interfacial energies and equilibrium shapes of nanocrystals

(2009) R Backofen et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

An anisotropic phase-field crystal model for heterogeneous nucleation of ellipsoidal colloids

(2009) R Prieler et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Molecular dynamics simulation of liquid and amorphous Fe nanoparticles

(2009) Vo Van Hoang   NANOTECHNOLOGY

Stress-induced morphological instabilities at the nanoscale examined using the phase field crystal approach

(2009) Kuo-An Wu et al.   PHYSICAL REVIEW B

Comment on “Renormalization-group theory for the phase-field crystal equation”

(2009) Y. Shiwa   PHYSICAL REVIEW E

Nonlinear driven response of a phase-field crystal in a periodic pinning potential

(2009) C. V. Achim et al.   PHYSICAL REVIEW E

Thermodynamics of bcc metals in phase-field-crystal models

(2009) A. Jaatinen et al.   PHYSICAL REVIEW E

Deriving surface-energy anisotropy for phenomenological phase-field models of solidification

(2009) Sami Majaniemi et al.   PHYSICAL REVIEW E

Phase-field-crystal and Swift-Hohenberg equations with fast dynamics

(2009) Peter Galenko et al.   PHYSICAL REVIEW E

Derivation of the phase-field-crystal model for colloidal solidification

(2009) Sven van Teeffelen et al.   PHYSICAL REVIEW E

Molecular dynamics on diffusive time scales from the phase-field-crystal equation

(2009) Pak Yuen Chan et al.   PHYSICAL REVIEW E

Fundamental Measure Theory for Inhomogeneous Fluids of Nonspherical Hard Particles

(2009) Hendrik Hansen-Goos et al.   PHYSICAL REVIEW LETTERS

Diffusion-Controlled Anisotropic Growth of Stable and Metastable Crystal Polymorphs in the Phase-Field Crystal Model

(2009) G. Tegze et al.   PHYSICAL REVIEW LETTERS

Complex plasmas: An interdisciplinary research field

(2009) Gregor E. Morfill et al.   REVIEWS OF MODERN PHYSICS

An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

(2009) S. M. Wise et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Solidification microstructures and solid-state parallels: Recent developments, future directions

(2008) M. Asta et al.   ACTA MATERIALIA

Advances of and by phase-field modelling in condensed-matter physics

(2008) Heike Emmerich   ADVANCES IN PHYSICS

Development of numerical scheme for phase field crystal deformation simulation

(2008) Tomoyuki Hirouchi et al.   COMPUTATIONAL MATERIALS SCIENCE

First-principles and phenomenological theories of hydrodynamics of solids

(2008) S. Majaniemi et al.   EUROPEAN PHYSICAL JOURNAL B

An efficient algorithm for solving the phase field crystal model

(2008) Mowei Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients

(2008) György Tegze et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Shape and Director Field Deformation of Tactoids of Plate-Like Colloids in a Magnetic Field†

(2008) Aletta A. Verhoeff et al.   JOURNAL OF PHYSICAL CHEMISTRY B

Phase-field approach to polycrystalline solidification including heterogeneous and homogeneous nucleation

(2008) Tamás Pusztai et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Polycrystalline solidification in a quenched 2D colloidal system

(2008) P Dillmann et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Beyond dynamic density functional theory: the role of inertia

(2008) Umberto Marini Bettolo Marconi et al.   JOURNAL OF PHYSICS-CONDENSED MATTER

Melting at dislocations and grain boundaries: A phase field crystal study

(2008) Joel Berry et al.   PHYSICAL REVIEW B

Phase-field crystal study of grain-boundary premelting

(2008) Jesper Mellenthin et al.   PHYSICAL REVIEW B

Thermal fluctuations and phase diagrams of the phase-field crystal model with pinning

(2008) J. A. P. Ramos et al.   PHYSICAL REVIEW E

Simulation of an atomistic dynamic field theory for monatomic liquids: Freezing and glass formation

(2008) Joel Berry et al.   PHYSICAL REVIEW E

Stability of orientationally disordered crystal structures of colloidal hard dumbbells

(2008) Matthieu Marechal et al.   PHYSICAL REVIEW E

Aggregation of self-propelled colloidal rods near confining walls

(2008) H. H. Wensink et al.   PHYSICAL REVIEW E

Colloidal Crystal Growth at Externally Imposed Nucleation Clusters

(2008) Sven van Teeffelen et al.   PHYSICAL REVIEW LETTERS

Mesoscopic and Microscopic Modeling of Island Formation in Strained Film Epitaxy

(2008) Zhi-Feng Huang et al.   PHYSICAL REVIEW LETTERS

Dynamical Density Functional Theory with Hydrodynamic Interactions and Colloids in Unstable Traps

(2008) M. Rex et al.   PHYSICAL REVIEW LETTERS

Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation

(2008) David J. B. Lloyd et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Fabrication and Light-Transmission Properties of Monolayer Square Symmetric Colloidal Crystals via Controlled Convective Self-assembly on 1D Grooves

(2007) J. Sun et al.   ADVANCED MATERIALS