49 citations · 105 across the 7 of their papers we have counts for
7 papers
Equatorial deformation of homogeneous spherical fluid vesicles by a rigid ring
Pablo Vázquez-Montejo, Bojan Božič, Jemal Guven
We examine the deformation of homogeneous spherical fluid vesicles along their equator by a circular rigid ring. We consider deformations preserving the axial and equatorial mirror…
Flexible paramagnetic membranes in fast precessing fields
Pablo Vázquez-Montejo, Mónica Olvera de la Cruz
Elastic membranes composed of paramagnetic beads offer the possibility of assembling versatile actuators operated autonomously by external magnetic fields. Here we develop a theore…
Paramagnetic filaments in a fast precessing field: Planar versus helical conformations
Pablo Vázquez-Montejo, Joshua M. Dempster, Mónica Olvera de la Cruz
We examine analytically equilibrium conformations of elastic chains of paramagnetic beads in the presence of a precessing magnetic field. Conformations of these filaments are deter…
Environmental bias and elastic curves on surfaces
Jemal Guven, Dulce María Valencia, Pablo Vázquez-Montejo
The behavior of an elastic curve bound to a surface will reflect the geometry of its environment. This may occur in an obvious way: the curve may deform freely along directions tan…
Constrained metric variations and emergent equilibrium surfaces
Jemal Guven, Pablo Vázquez-Montejo
Any surface is completely characterized by a metric and a symmetric tensor satisfying the Gauss-Codazzi-Mainardi equations (GCM), which identifies the latter as its curvature. We d…
Confining spheres within hyperspheres
Jemal Guven, José Antonio Santiago, Pablo Vázquez-Montejo
The bending energy of any freely deformable closed surface is quadratic in its curvature. In the absence of constraints, it will be minimized when the surface adopts the form of a…
Conical instabilities on paper
Jemal Guven, Martin Michael Mueller, Pablo Vázquez-Montejo
The stability of the fundamental defects of an unstretchable flat sheet is examined. This involves expanding the bending energy to second order in deformations about the defect. Th…