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

Title	Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours
Publication Type	Preprint
	2017
Authors	Alicandro, R, Lazzaroni, G, Palombaro, M
Document Number	SISSA;58/2016/MATE
	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.
	http://urania.sissa.it/xmlui/handle/1963/35269

Research Group:

Mathematics