Phason self-actions in quasicrystals

作者:Mariano Paolo Maria*; Planas Jaime
来源:Physica D: Nonlinear Phenomena , 2013, 249: 46-57.
DOI:10.1016/j.physd.2013.01.006

摘要

On the basis of first invariance principles, we discuss reasons for claiming, within continuum mechanics of quasicrystals, the existence of a phason self-action with both conservative and dissipative components. We foresee also the possible presence of deformation-induced rotational phason inertia. In non-linear setting we derive consequences of SO(3) invariance requirements on state functions and show also that in linearized elastic regime the conservative part of the self-action assures a non-linear spatial decay of the phason field in the absence of inertia effects. Closed form solutions obtained in a simple one-dimensional setting can guide possible experiments.

  • 出版日期2013-4-15