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.
2013
46
59
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Paolo Maria Mariano; Jaime Planas
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/788331
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