91 citations · 253 across the 19 of their papers we have counts for
19 papers
The role of spontaneous curvature in the formation of cell membrane necks
G. Torres-Vargas, F. Monroy, J. A. Santiago
The mechanical effects of membrane compositional inhomogeneities are analyzed in a process analogous of neck formation in cellular membranes. We cast on the Canham-Helfrich model o…
Moulding hydrodynamic 2D-crystals upon parametric Faraday waves in shear-functionalized water surfaces
Mikheil Kharbedia, Niccolò Caselli, Horacio López-Menéndez +2
Faraday waves (FWs), or surface waves oscillating at half of the natural frequency when a liquid is vertically vibrated, are archetypes of ordering transitions on liquid surfaces.…
Mechanics of nematic membranes: Euler-Lagrange equations, Noether charges, stress, torque and boundary conditions of the surface Frank nematic field
J. A. Santiago, F. Monroy
The mechanics of a flexible membrane decorated with a nematic liquid-crystal texture is considered in a variational framework. The variations on the splay, twist and the bend energ…
Membrane stress and torque induced by Frank's nematic textures: A geometric perspective using surface-based constraints
J. A. Santiago, G. Chacón-Acosta, F. Monroy
An elastic membrane with embedded nematic molecules is considered as a model of anisotropic fluid membrane with internal ordering. By considering the geometric coupling between dir…
Induced stresses in quasi-spherical elastic vesicles: local and global Laplace-Young law
G. Torres-Vargas, J. A. Santiago, G. Chacón-Acosta
On elastic spherical membranes, there is no stress induced by the bending energy and the corresponding Laplace-Young law does not involve the elastic bending stiffness. However, wh…
Stresses in curved nematic membranes
J. A. Santiago
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…