TY - JOUR
T1 - Minimality conditions for wave speed in anisotropic smectic C* liquid crystals
AU - Crooks, Elaine C. M.
AU - Grinfeld, Michael
AU - McKay, Geoffrey
N1 - This is the peer reviewed version of the following article: Crooks ECM, Grinfeld M, McKay G. Minimality conditions for wave speed in anisotropic smectic C* liquid crystals. Math Meth Appl Sci. 2017;1–15, which has been published in final form at https://doi.org/10.1002/mma.4596. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
PY - 2018/12/21
Y1 - 2018/12/21
N2 - We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C* liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining how the presence of anisotropy can affect the speed of this switching. We obtain an estimate of the influence of anisotropy on the minimal speed, sufficient conditions for linear and non-linear minimal speed selection mechanisms to hold in different parameter regimes, and a characterisation of the boundary separating the linear and non-linear regimes in parameter space.
AB - We discuss minimality conditions for the speed of monotone travelling waves in a sample of smectic C* liquid crystal subject to a constant electric field, dealing with both isotropic and anisotropic cases. Such conditions are important in understanding the properties of domain wall switching across a smectic layer, and our focus here is on examining how the presence of anisotropy can affect the speed of this switching. We obtain an estimate of the influence of anisotropy on the minimal speed, sufficient conditions for linear and non-linear minimal speed selection mechanisms to hold in different parameter regimes, and a characterisation of the boundary separating the linear and non-linear regimes in parameter space.
KW - smectic C liquid crystals
KW - travelling waves
KW - minimality conditions
KW - variational principles
KW - anisotropy
UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476
U2 - 10.1002/mma.4596
DO - 10.1002/mma.4596
M3 - Article
SN - 0170-4214
VL - 41
SP - 88
EP - 102
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 1
ER -
