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We introduce a novel simulation method that is designed to explorefluctuations of the phasonic degrees of freedom in decagonal colloidalquasicrystals. Specifically, we attain and characterise thermal equilibrium ofthe phason ensemble via Monte Carlo simulations with particle motionsrestricted to elementary phasonic flips. We find that, at any temperature, therandom tiling ensemble is strongly preferred over the minimum phason-strainquasicrystal. Phasonic flips are the dominant carriers of diffusive masstransport in physical space. Sub-diffusive transients suggest cooperative flipbehaviour on short time scales. In complementary space, particle mobility isgeometrically restricted to a thin ring around the acceptance domain, resultingin self-confinement and persistent phasonic order.

Phasonic Diffusion and Self-confinement of Decagonal Quasicrystals in Hyperspace