Quasicrystals in a Monodisperse System
arXiv:cond-mat/9905244 · doi:10.1103/PhysRevE.60.2664
Abstract
We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one stable crystalline phase can form for certain values of the square-well parameters. Quenching the liquid phase at a very low temperature, we obtain an amorphous phase. By heating this amorphous phase, we obtain a quasicrystalline structure with five-fold symmetry. From estimations of the Helmholtz potentials of the stable crystalline phases and of the quasicrystal, we conclude that the observed quasicrystal phase can be the stable phase in a specific range of temperatures.
21 latex-pages, 6 figures
References in corpus (3)
Cited by in corpus (15)
- Stability of Quasicrystals Composed of Soft Isotropic Particles
- Controlled self-assembly of periodic and aperiodic cluster crystals
- Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles
- Stability of Two-Dimensional Soft Quasicrystals
- Computing phase diagrams for a quasicrystal-forming patchy-particle system
- Dynamics of particle flips in two-dimensional quasicrystals
- Self-assembly of the decagonal quasicrystalline order in simple three-dimensional systems
- Non-Close-Packed Three-Dimensional Quasicrystals
- Multiple-scale structures: from Faraday waves to soft-matter quasicrystals
- Self-assembly of two-dimensional binary quasicrystals: A possible route to a DNA quasicrystal
- Structural complexity in monodisperse systems of isotropic particles
- Free-Energy Functional Method for Inverse Problem of Self Assembly
- Inverse melting in a two-dimensional off-lattice model
- Stability of three-dimensional icosahedral quasicrystals in multi-component systems
- Numerical Methods for Quasicrystals