Walk of a Line Defect in Quasicrystals

Quasicrystalline alloys are quasiperiodic aggregates in which local atomic changes (phason activity) influence prominently the gross deformative behavior. The effects of these rearrangements on a line defect are analyzed here. Balances of standard and phason interactions are derived along the line together with the balance of actions driving eventually it the former are found to be covariant while the latter follows from a requirement of invariance with respect to the action of the group of isochoric diffeomorphisms. The results can be applied to the analysis of dislocations in quasicrystals.