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We consider a model for vapor–liquid–solid growth of nanowires proposed in the physical literature. Liquid drops are described as local or global volume-constrained minimizers of the capillarity energy outside a semi-infinite convex obstacle modeling the nanowire. We first address the existence of global minimizers and then, in the case of rotationally symmetric nanowires, we investigate how the presence of a sharp edge affects the shape of local minimizers and the validity of Young’s law.
@article{AIHPC_2023__40_4_919_0,
author = {Fonseca, Irene and Fusco, Nicola and Leoni, Giovanni and Morini, Massimiliano},
title = {Global and local energy minimizers for a nanowire growth model},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {919--957},
volume = {40},
number = {4},
year = {2023},
doi = {10.4171/aihpc/54},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/54/}
}
TY - JOUR AU - Fonseca, Irene AU - Fusco, Nicola AU - Leoni, Giovanni AU - Morini, Massimiliano TI - Global and local energy minimizers for a nanowire growth model JO - Annales de l'I.H.P. Analyse non linéaire PY - 2023 SP - 919 EP - 957 VL - 40 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4171/aihpc/54/ DO - 10.4171/aihpc/54 LA - en ID - AIHPC_2023__40_4_919_0 ER -
%0 Journal Article %A Fonseca, Irene %A Fusco, Nicola %A Leoni, Giovanni %A Morini, Massimiliano %T Global and local energy minimizers for a nanowire growth model %J Annales de l'I.H.P. Analyse non linéaire %D 2023 %P 919-957 %V 40 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4171/aihpc/54/ %R 10.4171/aihpc/54 %G en %F AIHPC_2023__40_4_919_0
Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Morini, Massimiliano. Global and local energy minimizers for a nanowire growth model. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 4, pp. 919-957. doi: 10.4171/aihpc/54
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