%0 Report %D 2017 %T Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours %A Roberto Alicandro %A Giuliano Lazzaroni %A Mariapia Palombaro %X 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. %G en %U http://urania.sissa.it/xmlui/handle/1963/35269 %1 35575 %2 Mathematics %4 1 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2017-01-16T12:46:44Z No. of bitstreams: 1 Lazzaroni_Preprint_58_2016.pdf: 305384 bytes, checksum: 9e6300f0e04681ca5ebd4b457ddea10e (MD5)