  Using molecular dynamics simulations, we study computational self-assembly of
one-component three-dimensional dodecagonal (12-fold) quasicrystals in systems
with two-length-scale potentials. Existing criteria for three-dimensional
quasicrystal formation are quite complicated and rather inconvenient for
particle simulations. So to localize numerically the quasicrystal phase, one
should usually simulate over a wide range of system parameters. We show how to
universally localize the parameters values at which dodecagonal quasicrystal
order may appear for a given particle system. For that purpose, we use a
criterion recently proposed for predicting decagonal quasicrystal formation in
one-component two-length-scale systems. The criterion is based on two
dimensionless effective parameters describing the fluid structure which are
extracted from radial distribution function. The proposed method allows
reducing the time spent for searching the parameters favoring certain solid
structure for a given system. We show that the method works well for
dodecagonal quasicrystals; this results is verified on four systems with
different potentials: Dzugutov potential, oscillating potential which mimics
metal interactions, repulsive shoulder potential describing effective
interaction for core/shell model of colloids and embedded-atom model potential
for aluminum. Our results suggest that mechanism of dodecagonal quasicrystal
formation is universal for both metallic and soft-matter systems and it is
based on competition between interparticle scales.
