Piezo-Flexo-Electricity and Quantum Confinement: Modeling and Formulation of the Initial / Boundary Conditions Problem
DOI:
https://doi.org/10.70567/mc.v41i12.60Keywords:
Piezo-flexo-electricity, dielectric polarization, quantum dots, confinement potentialAbstract
Piezo-flexo-electricity is a property of insulating materials (centro-symmetrical dielectrics), which polarize when subjected to a strain gradient and an electric field simultaneously at the nanoscale. From this perspective, and analogously, with respect to the micromechanical case, we can assume that a configurational force will appear, which will produce a residual deformation, called piezo-flexo-electric, identical to the one that appears in the classical Eshelby experiment, and that it will have a confinement effect, this fact occurs physically, giving rise to the appearance of a mechano-quantum fluctuation (quantum confinement). zero, uni, bi, or three-dimensional, in the first case we talk about quantum dots. In the present work, the constitutive equations of the piezo-flexo-electricity, its equations of motion, and the resolubility conditions of the piezo-flexo-electric system are specified.
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