Calculus of Variations and Geometric Measure Theory

R. Alicandro - G. Lazzaroni - M. Palombaro

Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours

created by lazzaroni on 30 Nov 2016
modified on 12 Mar 2018


Published Paper

Inserted: 30 nov 2016
Last Updated: 12 mar 2018

Journal: Netw. Heterog. Media
Volume: 13
Pages: 1-26
Year: 2018


We study continuum limits of discrete models for (possibly heterogeneous) nanowires. The lattice energy includes at least nearest and next-to-nearest neighbour interactions: the latter have the role of penalising changes of orientation. In the heterogeneous case, we obtain an estimate on the minimal energy spent to match different equilibria. This gives insight into the nucleation of dislocations in epitaxially grown heterostructured nanowires.