The presence of additional hydrodynamic modes, associated with the flu
ctuations in incommensurate, or phason degrees of freedom, is a distin
ctive dynamical feature of quasicrystals. The phason dynamics can give
rise to a novel form of atomic transport, which is expected to be muc
h faster than the conventional vacancy-driven diffusion in crystals an
d amorphous solids. In this paper, a computer simulation is reported u
tilizing a realistic 3D model of an axial stacked dodecagonal quasicry
stal, which is found to exhibit a high rate of phason flips as well as
the related atomic diffusion. The tagged particle dynamics, explored
through the simulated incoherent intermediate scattering function, F-s
(Q, t), are found to display, in the alpha-relaxation time window, a p
ronounced stretching of relaxation times. This can be successfully app
roximated by the Kohlrausch function, revealing an anomalously small v
alue of the stretching exponent, beta = 0.47, which is analyzed in ter
ms of modes involved.