This paper presents an overview of mathematical models for a better understanding of mechanical processes, as well as dynamics, at the nanoscale. After a short introduction related to semi-empirical and ab initio formulations, molecular dynamics simulations, atomic-scale finite element method, multiscale computational methods, the paper focuses on the Drude-Lorentz type models for the study of dynamics, considering the results of a recently appeared generalization of them for the nanoscale domain. The theoretical framework is illustrated and some examples are considered.
@article{bwmeta1.element.doi-10_2478_nsmmt-2014-0001,
author = {Paolo Di Sia},
title = {Overview of Drude-Lorentz type models and their applications},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
volume = {3},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2014-0001}
}
Paolo Di Sia. Overview of Drude-Lorentz type models and their applications. Nanoscale Systems: Mathematical Modeling, Theory and Applications, Tome 3 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2014-0001/
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