Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles
arXiv:1111.5782 · doi:10.1063/1.3679653
Abstract
The behaviour of two-dimensional patchy particles with 5 and 7 regularly-arranged patches is investigated by computer simulation. For higher pressures and wider patch widths, hexagonal crystals have the lowest enthalpy, whereas at lower pressures and for narrower patches, lower-density crystals with five nearest neighbours and that are based on the (3^2,4,3,4) tiling of squares and triangles become lower in enthalpy. Interestingly, in regions of parameter space near to that where the hexagonal crystals become stable, quasicrystalline structures with dodecagonal symmetry form on cooling from high temperature. These quasicrystals can be considered as tilings of squares and triangles, and are probably stabilized by the large configurational entropy associated with all the different possible such tilings. The potential for experimentally realizing such structures using DNA multi-arm motifs are discussed.
12 pages, 12 figures
References in corpus (7)
- Self-Assembly of Patchy Particles into Diamond Structures through Molecular Mimicry
- Determination of phase diagrams via computer simulation: Methodology and applications to water, electrolytes and proteins
- Reversible self-assembly of patchy particles into monodisperse icosahedral clusters
- Self-Assembly of Monatomic Complex Crystals and Quasicrystals with a Double-Well Interaction Potential
- Proliferation of anomalous symmetries in colloidal monolayers subjected to quasiperiodic light fields
- Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles
- Dynamics of particle flips in two-dimensional quasicrystals
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- A simple and accurate method to determine fluid-crystal phase boundaries from direct coexistence simulations
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- Defect-Mediated Relaxation in the Random Tiling Phase of a Binary Mixture: Birth, Death and Mobility of an Atomic Zipper
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