Related references
Note: Only part of the references are listed.Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn-Hilliard system in copolymer/homopolymer mixtures?
Qi Li et al.
COMPUTER PHYSICS COMMUNICATIONS (2021)
Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model
Qi Li et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2021)
Stability of three-dimensional icosahedral quasicrystals in multi-component systems
Kai Jiang et al.
PHILOSOPHICAL MAGAZINE (2020)
A new Lagrange multiplier approach for gradient flows
Qing Cheng et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)
GLOBAL CONSTRAINTS PRESERVING SCALAR AUXILIARY VARIABLE SCHEMES FOR GRADIENT FLOWS
Qing Cheng et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2020)
Numerical approximations for a new L2-gradient flow based Phase field crystal model with precise nonlocal mass conservation
Jun Zhang et al.
COMPUTER PHYSICS COMMUNICATIONS (2019)
On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure
Jun Zhang et al.
APPLIED NUMERICAL MATHEMATICS (2019)
Phase ordering, transformation, and grain growth of two-dimensional binary colloidal crystals: A phase field crystal modeling
Doaa Taha et al.
PHYSICAL REVIEW MATERIALS (2019)
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
Qi Li et al.
ADVANCES IN COMPUTATIONAL MATHEMATICS (2019)
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
Jie Shen et al.
SIAM REVIEW (2019)
The scalar auxiliary variable (SAV) approach for gradient flows
Jie Shen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn-Hilliard Equations
Dong Li et al.
JOURNAL OF SCIENTIFIC COMPUTING (2017)
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
Mehdi Dehghan et al.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2017)
Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
Xiaofeng Yang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
Grain Boundary Structures and Collective Dynamics of Inversion Domains in Binary Two-Dimensional Materials
Doaa Taha et al.
PHYSICAL REVIEW LETTERS (2017)
Colloidal molecules assembled from binary spheres under an AC electric field
Kelley Lynch Heatley et al.
SOFT MATTER (2017)
Phase-field-crystal model for ordered crystals
Eli Alster et al.
PHYSICAL REVIEW E (2017)
Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
Kai Jiang et al.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2016)
A binary phase field crystal study for phase segregation of liquid phase heteroepitaxial growth
Yingying Peng et al.
COMPUTATIONAL MATERIALS SCIENCE (2016)
First and second order numerical methods based on a new convex splitting for phase-field crystal equation
Jaemin Shin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Improving the accuracy of convexity splitting methods for gradient flow equations
Karl Glasner et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
LOCAL DISCONTINUOUS GALERKIN METHOD AND HIGH ORDER SEMI-IMPLICIT SCHEME FOR THE PHASE FIELD CRYSTAL EQUATION
Ruihan Guo et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)
First and second order operator splitting methods for the phase field crystal equation
Hyun Geun Lee et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Fabrication of Well-Ordered Binary Colloidal Crystals with Extended Size Ratios for Broadband Reflectance
Zhongyu Cai et al.
ACS APPLIED MATERIALS & INTERFACES (2014)
Characterizing solute segregation and grain boundary energy in binary alloy phase field crystal models
Jonathan Stolle et al.
COMPUTATIONAL MATERIALS SCIENCE (2014)
Colloidal particles in a drying suspension: A phase field crystal approach
Nirmalendu Ganai et al.
EUROPEAN PHYSICAL JOURNAL E (2013)
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
Arvind Baskaran et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2013)
Electrostatic assembly of binary nanoparticle superlattices using protein cages
Mauri A. Kostiainen et al.
NATURE NANOTECHNOLOGY (2013)
CONVERGENCE ANALYSIS OF A SECOND ORDER CONVEX SPLITTING SCHEME FOR THE MODIFIED PHASE FIELD CRYSTAL EQUATION
A. Baskaran et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2013)
An unconditionally energy-stable method for the phase field crystal equation
Hector Gomez et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2012)
Phase-field crystal modeling of early stage clustering and precipitation in metal alloys
Vahid Fallah et al.
PHYSICAL REVIEW B (2012)
Binary colloidal structures assembled through Ising interactions
Karim S. Khalil et al.
NATURE COMMUNICATIONS (2012)
AN ENERGY STABLE AND CONVERGENT FINITE-DIFFERENCE SCHEME FOR THE MODIFIED PHASE FIELD CRYSTAL EQUATION
C. Wang et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2011)
Tuning the structure of non-equilibrium soft materials by varying the thermodynamic driving force for crystal ordering
Gyoergy Tegze et al.
SOFT MATTER (2011)
NUMERICAL APPROXIMATIONS OF ALLEN-CAHN AND CAHN-HILLIARD EQUATIONS
Jie Shen et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2010)
Energetic and Entropic Contributions to Self-Assembly of Binary Nanocrystal Superlattices: Temperature as the Structure-Directing Factor
Maryna I. Bodnarchuk et al.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY (2010)
Magnetic 3-D ordered macroporous silica templated from binary colloidal crystals and its application for effective removal of microcystin
Jia Liu et al.
MICROPOROUS AND MESOPOROUS MATERIALS (2010)
Entropy-Driven Formation of Binary Semiconductor-Nanocrystal Superlattices
Wiel H. Evers et al.
NANO LETTERS (2010)
Phase-field-crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures
Zhi-Feng Huang et al.
PHYSICAL REVIEW E (2010)
Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients
Gyoergy Tegze et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
Design of 2D Binary Colloidal Crystals in a Nematic Liquid Crystal
U. Ognysta et al.
LANGMUIR (2009)
Simulation and fabrication of binary colloidal photonic crystals and their inverse structures
Yong Wan et al.
MATERIALS LETTERS (2009)
Derivation of the phase-field-crystal model for colloidal solidification
Sven van Teeffelen et al.
PHYSICAL REVIEW E (2009)
Mesoscopic and Microscopic Modeling of Island Formation in Strained Film Epitaxy
Zhi-Feng Huang et al.
PHYSICAL REVIEW LETTERS (2008)
Using the phase-field crystal method in the multi-scale modeling of microstructure evolution
N. Provatas et al.
JOM (2007)
Phase-field crystal modeling and classical density functional theory of freezing
K. R. Elder et al.
PHYSICAL REVIEW B (2007)
Structural diversity in binary nanoparticle superlattices
EV Shevchenko et al.
NATURE (2006)
Fabrication and structural analysis of binary colloidal crystals with two-dimensional superlattices
MH Kim et al.
ADVANCED MATERIALS (2005)
Molecular dynamics simulation of the structural configuration of binary colloidal monolayers
T Stirner et al.
LANGMUIR (2005)
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals
KR Elder et al.
PHYSICAL REVIEW E (2004)
Three-dimensional binary superlattices of magnetic nanocrystals and semiconductor quantum dots
FX Redl et al.
NATURE (2003)
Modeling the structure of charged binary colloidal dispersions
SN Petris et al.
LANGMUIR (2003)
Modeling elasticity in crystal growth
KR Elder et al.
PHYSICAL REVIEW LETTERS (2002)
Share Paper
