Quasicrystal formation in binary soft matter mixtures
arXiv:2007.12427 · doi:10.1103/PhysRevResearch.2.032043
Abstract
Using a strategy that may be applied in theory or in experiments, we identify the regime in which a model binary soft matter mixture forms quasicrystals. The system is described using classical density functional theory combined with integral equation theory. Quasicrystal formation requires particle ordering with two characteristic lengthscales in certain particular ratios. How the lengthscales are related to the form of the pair interactions is reasonably well understood for one component systems, but less is known for mixtures. In our model mixture of big and small colloids confined to an interface, the two lengthscales stem from the range of the interactions between pairs of big particles and from the cross big-small interactions, respectively. The small-small lengthscale is not significant. Our strategy for finding quasicrystals involves tuning locations of maxima in the dispersion relation, or equivalently in the liquid state partial static structure factors.
arXiv comment8 pages, 5 figures
References in corpus (33)
- Dynamic Density Functional Theory of Fluids
- Dynamical density functional theory and its application to spinodal decomposition
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
- Theoretical Model for Faraday Waves with Multiple-Frequency Forcing
- Superlattice Patterns in Surface Waves
- Pattern formation in weakly damped Faraday waves
- Pattern formation in 2-frequency forced parametric waves
- Soft quasicrystals - Why are they stable?
- Stability of Quasicrystals Composed of Soft Isotropic Particles
- Controlled self-assembly of periodic and aperiodic cluster crystals
- Quasicrystalline order and a crystal-liquid state in a soft-core fluid
- Dynamical density functional theory for dense atomic liquids
- Dynamical density functional theory: binary phase-separating colloidal fluid in a cavity
- Two-frequency forced Faraday waves: Weakly damped modes and pattern selection
- Self-assembling two-dimensional quasicrystals in simple systems of monodisperse soft-core disks
- Solidification fronts in supercooled liquids: how rapid fronts can lead to disordered glassy solids
- Three-dimensional Phase Field Quasicrystals
- Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase
- Stable crystalline lattices in two-dimensional binary mixtures of dipolar particles
- Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations
- Solidification in soft-core fluids: disordered solids from fast solidification fronts
- Design of parametrically forced patterns and quasipatterns
- Three-wave interactions and spatio-temporal chaos
- Multiple-scale structures: from Faraday waves to soft-matter quasicrystals
- Density functional theory of freezing for soft interactions in two dimensions
- Can weakly nonlinear theory explain Faraday wave patterns near onset?
- Resonant triad dynamics in weakly damped Faraday waves with two-frequency forcing
- Structural crossover in a model fluid exhibiting two length scales: repercussions for quasicrystal formation
- Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals?
- Crystallization of magnetic dipolar monolayers: a density functional approach
- Density functional theory for the crystallization of two-dimensional dipolar colloidal alloys
- Generation of defects and disorder from deeply quenching a liquid to form a solid
Cited by in corpus (10)
- Classical dynamical density functional theory: from fundamentals to applications
- Perspective: New directions in dynamical density functional theory
- Cholesteric shells: two-dimensional blue fog and finite quasicrystals
- Self-assembly in soft matter with multiple length scales
- Efficient calculation of phase coexistence and phase diagrams: application to a binary phase-field crystal model
- Rectangle--triangle soft-matter quasicrystals with hexagonal symmetry
- Self-assembly of binary solutions to complex structures
- Design of linear block copolymers and ABC star terpolymers that produce two length scales at phase separation
- Defects Enhance Stability in 12-fold Symmetric Soft-Matter Quasicrystals
- Emergent aperiodicity in Bose-Bose mixtures induced by spin-dependent periodic potentials