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 absence of inertia effects. Closed form solutions obtained in a simple one-dimensional setting can guide possible experiments.
Phason self-actions in quasicrystals / Paolo Maria Mariano; Jaime Planas. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - (2013), pp. 46-59.
Phason self-actions in quasicrystals
Paolo Maria Mariano
;
2013
Abstract
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 absence of inertia effects. Closed form solutions obtained in a simple one-dimensional setting can guide possible experiments.File | Dimensione | Formato | |
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