TY - RPRT
T1 - Derivation of a rod theory from lattice systems with interactions beyond nearest neighbours
Y1 - 2017
A1 - Roberto Alicandro
A1 - Giuliano Lazzaroni
A1 - Mariapia Palombaro
AB - 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.
UR - http://urania.sissa.it/xmlui/handle/1963/35269
U1 - 35575
U2 - Mathematics
U4 - 1
ER -