Spatial decay of the phason field in quasicrystal linear elasticity

We present numerical simulations showing that a conservative phason self-action, i.e. the stationary part of the phason diffusion, promotes in quasicrystal linear elasticity the phason spatial decay. The proof of the possible existence of such a phason self-action is based on invariance requirements of the external power of all actions over a quasicrystal, with respect to isometry-based changes in observers in the physical and phason spaces. The numerical result confirms a 2011 theoretical prevision by Colli and Mariano.