Elastic energy for reflection-symmetric topologies
Majumdar, A. ; Robbins, J. M. ; Zyskin, M.
arXiv, 0507055 / Harvested from arXiv
Text on arXiv
Nematic liquid crystals in a polyhedral domain, a prototype for bistable displays, may be described by a unit-vector field subject to tangent boundary conditions. Here we consider the case of a rectangular prism. For configurations with reflection-symmetric topologies, we derive a new lower bound for the one-constant elastic energy. For certain topologies, called conformal and anticonformal, the lower bound agrees with a previous result. For the remaining topologies, called nonconformal, the new bound is an improvement. For nonconformal topologies we derive an upper bound, which differs from the lower bound by a factor depending only on the aspect ratios of the prism.
Publié le : 2005-07-20
Classification:  Mathematical Physics,  58E20,  35Q80, 35Q60, 70S99 
@article{0507055,
     author = {Majumdar, A. and Robbins, J. M. and Zyskin, M.},
     title = {Elastic energy for reflection-symmetric topologies},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507055}
}

Majumdar, A.; Robbins, J. M.; Zyskin, M. Elastic energy for reflection-symmetric topologies. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507055/