Monte Carlo simulations of fluid vesicles with in plane orientational ordering

Abstract

We present a method for simulating fluid vesicles with in-plane orientational ordering. The method involves computation of local curvature tensor and parallel transport of the orientational field on a randomly triangulated surface. It is shown that the model reproduces the known equilibrium conformation of fluid membranes and work well for a large range of bending rigidities. Introduction of nematic ordering leads to stiffening of the membrane. Nematic ordering can also result in anisotropic rigidity on the surface leading to formation of membrane tubes.

11 Pages, 12 Figures, To appear in Phys. Rev. E

References in corpus (4)

• Defects in nematic membranes can buckle into pseudospheres
• Vesicle shape, molecular tilt, and the suppression of necks
• Concise theory of chiral lipid membranes
• Possible effects of tilt order on phase transitions of a fixed connectivity surface model

Cited by in corpus (14)

• Membrane mediated aggregation of curvature inducing nematogens and membrane tubulation
• Mesoscale computational studies of membrane bilayer remodeling by curvature-inducing proteins
• A stabilized finite element formulation for liquid shells and its application to lipid bilayers
• Environmental bias and elastic curves on surfaces
• Coarse-Grained Modeling of a Deformable Nematic Vesicle
• Role of disclinations in determining the morphology of deformable fluid interfaces
• Frustrated order on extrinsic geometries
• Defining the Free-Energy Landscape of Curvature-Inducing Proteins on Membrane Bilayers
• Modeling anisotropic elasticity of fluid membranes
• Tubulation pattern of membrane vesicles coated with bio filaments
• Lipid-protein interaction induced domains: kinetics and conformational changes in multicomponent vesicles
• Coarse-grained curvature tensor on polygonal surfaces
• Thermal Properties of Vortices on Curved Surfaces
• Deformation and orientational order of chiral membranes with free edges