Phase ordering, transformation, and grain growth of two-dimensional binary colloidal crystals: A phase field crystal modeling

Abstract

The formation and dynamics of a wide variety of binary two-dimensional ordered structures and superlattices are investigated through a phase field crystal model with sublattice ordering. Various types of binary ordered phases, the phase diagrams, and the grain growth dynamics and structural transformation processes, including the emergence of topological defects, are examined. The results are compared to the ordering and assembly of two-component colloidal systems. Two factors governing the binary phase ordering are identified, the coupling and competition between the length scales of two sublattices and the selection of average particle densities of two components. The control and variation of these two factors lead to the prediction of various complex binary ordered patterns, with different types of sublattice ordering for integer vs. noninteger ratios of sublattice length scales. These findings will enable further systematic studies of complex ordering and assembly processes of binary systems particularly binary colloidal crystals.

13 pages, 9 figures

References in corpus (13)

• Modeling Elasticity in Crystal Growth
• Modeling Elastic and Plastic Deformations in Non-Equilibrium Processing Using Phase Field Crystals
• Dynamic Density Functional Theory of Fluids
• Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
• Derivation of the phase field crystal model for colloidal solidification
• Phase field crystal dynamics for binary systems: Derivation from dynamical density functional theory, amplitude equation formalism, and applications to alloy heterostructures
• Multiscale modeling of polycrystalline graphene: A comparison of structure and defect energies of realistic samples from phase field crystal models
• Dynamical density functional theory: binary phase-separating colloidal fluid in a cavity
• Growth modes of quasicrystals
• Grain Boundary Structures and Collective Dynamics of Inversion Domains in Binary Two-Dimensional Materials
• Complex order-parameter phase-field models derived from structural phase-field-crystal models
• Morphological instability, evolution, and scaling in strained epitaxial films: An amplitude equation analysis of the phase field crystal model
• Phase Transformations in Binary Colloidal Monolayers

Cited by in corpus (10)

• Classical dynamical density functional theory: from fundamentals to applications
• Efficient calculation of phase coexistence and phase diagrams: application to a binary phase-field crystal model
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Grain rotation and coupled grain boundary motion in two-dimensional binary hexagonal materials
• Minimal phase-field crystal modeling of vapor-liquid-solid coexistence and transitions
• Control of phase ordering and elastic properties in phase field crystals through three-point direct correlation
• Magnetic APFC modeling and the influence of magneto-structural interactions on grain shrinkage
• Atomic ordering and phase separation in lateral heterostructures and multijunctions of ternary two-dimensional hexagonal materials
• Uncovering liquid-substrate fluctuation effects on crystal growth and disordered hyperuniformity of two-dimensional materials
• Moiré patterns and inversion boundaries in graphene/hexagonal boron nitride bilayers