TY - JOUR
T1 - Effects of flexoelectricity and weak anchoring on a Freedericksz transition cell
AU - Mema, E.
AU - Kondic, L.
AU - Cummings, L. J.
N1 - Funding Information:
This work was supported by the NSF under Grant No. DMS-1211713.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/1/5
Y1 - 2017/1/5
N2 - We consider a mathematical model that consists of a nematic liquid crystal layer sandwiched between two parallel bounding plates, across which an external field is applied. We investigate how the number and type of solutions for the director orientation within the layer change as the field strength, anchoring conditions, and material properties of the nematic liquid crystal layer vary. In particular, we focus on how the inclusion of flexoelectric effects alters the Freedericksz and saturation thresholds.
AB - We consider a mathematical model that consists of a nematic liquid crystal layer sandwiched between two parallel bounding plates, across which an external field is applied. We investigate how the number and type of solutions for the director orientation within the layer change as the field strength, anchoring conditions, and material properties of the nematic liquid crystal layer vary. In particular, we focus on how the inclusion of flexoelectric effects alters the Freedericksz and saturation thresholds.
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U2 - 10.1103/PhysRevE.95.012701
DO - 10.1103/PhysRevE.95.012701
M3 - Article
C2 - 28208326
AN - SCOPUS:85010301209
SN - 1063-651X
VL - 95
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 1
M1 - 012701
ER -