Self-assembly of the decagonal quasicrystalline order in simpleă three-dimensional systems

Using molecular dynamics simulations we show that a one-component systemă can be driven to a three-dimensional decagonal (10-fold)ă quasicrystalline state just by purely repulsive, isotropic and monotonică interaction pair potential with two characteristic length scales; noă attraction is needed. We found that self-assembly of a decagonală quasicrystal from a fluid can be predicted by two dimensionlessă effective parameters describing the fluid structure. We demonstrateă stability of the results under changes of the potential by obtaining theă decagonal order for three particle systems with different interactionă potentials, both purely repulsive and attractive, but with the sameă values of the effective parameters. Our results suggest that soft matteră quasicrystals with decagonal symmetry can be experimentally observed foră the same systems demonstrating the dodecagonal order for an appropriateă tuning of the effective parameters.