Role of disclinations in determining the morphology of deformable fluid interfaces

Ramakrishnan, N.; Ipsen, John Hjort; Kumar, P. B. Sunil

doi:10.1039/c2sm07384f

Cited by 32 publications

(47 citation statements)

References 29 publications

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“…The frustration associated with the interplay of curvature and order [30,68,69] has many consequences for crystals [70][71][72][73][74], tethered membranes [75,76], liquid crystalline membranes [77][78][79], and jammed and glassy systems [80,81]. The presence of activity adds an entirely new nonequilibrium dimension to the whole story, allowing for completely new physics arising from competing order, curvature, and the active drive.…”

Section: Discussionmentioning

confidence: 99%

Topological Sound and Flocking on Curved Surfaces

2017

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Active systems on curved geometries are ubiquitous in the living world. In the presence of curvature, orientationally ordered polar flocks are forced to be inhomogeneous, often requiring the presence of topological defects even in the steady state because of the constraints imposed by the topology of the underlying surface. In the presence of spontaneous flow, the system additionally supports long-wavelength propagating sound modes that get gapped by the curvature of the underlying substrate. We analytically compute the steady-state profile of an active polar flock on a two-sphere and a catenoid, and show that curvature and active flow together result in symmetry-protected topological modes that get localized to special geodesics on the surface (the equator or the neck, respectively). These modes are the analogue of edge states in electronic quantum Hall systems and provide unidirectional channels for information transport in the flock, robust against disorder and backscattering.

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Section: Discussionmentioning

confidence: 99%

Topological Sound and Flocking on Curved Surfaces

2017

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“…2 and 3. This less symmetric configuration arises because of the asymmetry in the magnitude of the topological charge of the defects: the two +1/2 defects repel each other less strongly than a charge one and charge one-half such that β 12 and β 13 are larger than β 23 . This is in marked contrast with the regular tetrahedral configuration in which all the defects are equidistant, because all four charges are identical.…”

Section: Trivalent Ground Statementioning

confidence: 99%

Spherical nematic shells with a threefold valence

et al. 2016

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We present a theoretical study of the energetics of thin nematic shells with two charge-one-half defects and one charge-one defect. We determine the optimal arrangement: the defects are located on a great circle at the vertices of an isosceles triangle with angles of 66• at the charge-one-half defects and a distinct angle of 48• , consistent with experimental findings. We also analyze thermal fluctuations around this ground state and estimate the energy as a function of thickness. We find that the energy of the three-defect shell is close to the energy of other known configurations having two charge-one and four charge-one-half defects. This finding, together with the large energy barriers separating one configuration from the others, explains their observation in experiments as well as their long-time stability.

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“…The adsorption and assembly of BAR domains have been investigated using atomic and coarse-grained molecular simulations [48][49][50]. Further, tubular formation via membrane protrusion was simulated using a dynamically triangulated membrane model [51,52] and meshless membrane models [53,54]. Membrane rupture leads to the formation of a tubular membrane network [55][56][57] and membrane inversion [57].…”

Section: Introductionmentioning

confidence: 99%

Acceleration and suppression of banana-shaped-protein-induced tubulation by addition of small membrane inclusions of isotropic spontaneous curvatures

Noguchi

2017

Soft Matter

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The membrane tubulation induced by banana-shaped protein rods is investigated by using coarsegrained meshless membrane simulations. It is found that the tubulation is promoted by laterally isotropic membrane inclusions that generate the same sign of spontaneous curvature as the adsorbed protein rods. The inclusions are concentrated in the tubules and reduce the bending energy of the tip of the tubules. On the other hand, the inclusions with an opposite curvature suppress the tubulation by percolated-network formation at a high protein-rod density while they induce a spherical membrane bud at a low rod density. When equal amounts of the two types of inclusions (with positive and negative curvatures) are added, their effects cancel each other for the first short period but later the tubulation is slowly accelerated. A positive surface tension suppresses the tubulation. Out results suggest that the cooperation of scaffolding of BAR (Bin/Amphiphysin/Rvs) domains and isotropic membrane inclusions is important for the tubulation.

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Role of disclinations in determining the morphology of deformable fluid interfaces

Cited by 32 publications

References 29 publications

Topological Sound and Flocking on Curved Surfaces

Topological Sound and Flocking on Curved Surfaces

Spherical nematic shells with a threefold valence

Acceleration and suppression of banana-shaped-protein-induced tubulation by addition of small membrane inclusions of isotropic spontaneous curvatures

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