Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 81-91
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
This paper deals with the detailed structure of the order-parameter field both close and far from a moving singularity in nematic liquid crystals. We put forward asymptotic expansions that allow to extract from the exact solution the necessary analytical details, at any prescribed order. We also present a simple uniform approximation, which captures the qualitative features of the exact solution in all the domain. This paper is dedicated to the memory of Carlo Cercignani, a master who will be never praised enough for both his scientific achievements and the way he taught how research is to be conducted.
@article{BUMI_2012_9_5_1_a3,
author = {Biscari, Paolo and Turzi, Stefano},
title = {Asymptotic {Director} {Fields} of {Moving} {Defects} in {Nematic} {Liquid} {Crystals}},
journal = {Bollettino della Unione matematica italiana},
pages = {81--91},
publisher = {mathdoc},
volume = {Ser. 9, 5},
number = {1},
year = {2012},
zbl = {1260.82082},
mrnumber = {2919649},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a3/}
}
TY - JOUR AU - Biscari, Paolo AU - Turzi, Stefano TI - Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals JO - Bollettino della Unione matematica italiana PY - 2012 SP - 81 EP - 91 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a3/ LA - en ID - BUMI_2012_9_5_1_a3 ER -
Biscari, Paolo; Turzi, Stefano. Asymptotic Director Fields of Moving Defects in Nematic Liquid Crystals. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 1, pp. 81-91. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_1_a3/