Mechanics of nematic membranes: Euler–Lagrange equations, Noether charges, stress, torque and boundary conditions of the surface Frank’s nematic field

DOI10.1088/1751-8121/ab7cffOpenAlexW3010351009MaRDI QIDQ5061340

No author found.

Publication date: 12 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.10115

zbMATH Keywords

elastic membraneCanham-Helfrich energyFrank's nematic energynematic orderingnematic stress tensorsurface vector field

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Morphodynamics of active nematic fluid surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Equilibrium of nematic vesicles
• Plates and Shells for Smart Structures
• Membrane geometry with auxiliary variables and quadratic constraints
• Deformations of the geometry of lipid vesicles
• Stresses in lipid membranes
• Orientational order, topology, and vesicle shapes
• Finite-size effects for anisotropic 2D Ising model with various boundary conditions

This page was built for publication: Mechanics of nematic membranes: Euler–Lagrange equations, Noether charges, stress, torque and boundary conditions of the surface Frank’s nematic field