Stresses in curved nematic membranes

• Main Author: Santiago, J. A.
• Format: Text
• Language: unknown
• Published: arXiv 2018
• Subjects: Soft Condensed Matter cond-mat.soft; FOS Physical sciences; North Pole; Laplace; Lagrange
• Online Access: https://dx.doi.org/10.48550/arxiv.1802.10428; https://arxiv.org/abs/1802.10428

Ordering configurations of a director field on a curved membrane induce stress. In this work, we present a theoretical framework to calculate the stress tensor and the torque as a consequence of the nematic ordering; we use the variational principle and invariance of the energy under Euclidean motio...