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Grain Boundary Scars and Spherical Crystallography
Experimental investigations of the structure of two-dimensional spherical crystals find that crystals develop distinctive high-angle grain boundaries, or scars, not found in planar crystals above a critical system size.
Topology and dynamics of active nematic vesicles
The spatiotemporal patterns that emerge when an active nematic film of microtubules and molecular motors is encapsulated within a shape-changing lipid vesicle are studied to demonstrate how biomimetic materials can be obtained when topological constraints are used to control the non-equilibrium dynamics of active matter.
Interacting topological defects on frozen topographies
We propose and analyze an effective free energy describing the physics of disclination defects in particle arrays constrained to move on an arbitrary two-dimensional surface. At finite temperature…
Defect annihilation and proliferation in active nematics.
A simple analytical model for the defect dynamics is developed which reproduces the key features of both the numerical solutions and recent experiments on microtubule-kinesin assemblies.
Crystalline order on a sphere and the generalized Thomson problem.
Predictions from the continuum theory for the ground state energy agree with numerical simulations of long range power law interactions of the form 1/r(gamma) (0<gamma<2) to four significant figures.
The statistical mechanics of membranes
Universal scaling of the tail of the density of eigenvalues in random matrix models
The solution space of the unitary matrix model string equation and the Sato Grassmannian
The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on pointsV1 andV2 in…
Direct visualization of dislocation dynamics in grain-boundary scars
- P. Lipowsky, M. Bowick, J. Meinke, D. Nelson, A. Bausch
- Materials ScienceNature materials
- 22 March 2005
The structural features and the equilibrium dynamics of micrometre-scale spherical crystals formed by polystyrene particles adsorbed on the surface of a spherical water droplet are investigated and the parameters of the Peierls potential induced by the underlying crystalline lattice are determined.