The influence of higher order geometric terms on the asymmetry and dynamics of membranes

2024/12/18 by Sischka, Jan Magnus, Nitschke, Ingo, Voigt, Axel · 2 citations
#FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)

paper · doi:10.48550/arxiv.2412.13761

Abstract

We consider membranes as fluid deformable surface and allow for higher order geometric terms in the bending energy. The evolution equations are derived and numerically solved using surface finite elements. The higher order geometric terms related to the Gaussian curvature squared have a tendency to stabilize tubes and enhance the evolution towards equilibrium shapes, thereby facilitating rapid shape changes. This is demonstrated in axisymmetric settings and fully three-dimensional simulations.

Cited by

• Hydrodynamic liquid crystal models for lipid bilayers
• Self-avoiding fluid deformable surfaces

Related

• A Twist On Active Membranes: Odd Mechanics, Spontaneous Flows and Shape Instabilities
• The role of spontaneous curvature in the formation of cell membrane necks
• Configurations of fluid membranes and vesicles
• Tethered membranes do not remain flat for strong structural asymmetry
• Shape of a membrane on a liquid interface with arbitrary curvatures