Simple tiling model and phason kinetics for decagonal Al-Cu-Co

For decagonal Al-Cu-Co, a tiling model is presented which is based on a deflated version of Burkov's model [S.E. Burkov, Phys. Rev. B 47, 12 325 (1993)] and which instead of 34 atoms requires at most two atoms per basic tile. The model allows the realization of flips that involve the motion of only two atoms. Two such correlated flips in the deflated tiling mimic such a flip in an inflated tiling with a collective jump of ten atoms forming a ring. Thus for a real quasicrystal the kinetic features of phasons, can be represented through a geometrical algorithm. Atomic surfaces and motion of the ten-rings agree with experimental observations.