Inverse optimization techniques for targeted self - assembly †

Self-assembly of the simple cubic lattice with an isotropic potential.

Conventional wisdom presumes that low-coordinated crystal ground states require directional interactions. Using our recently introduced optimization procedure to achieve self-assembly of targeted structures [M. C. Rechtsman, Phys. Rev. Lett. 95, 228301 (2005); Phys. Rev. E 73, 011406 (2006)], we present an isotropic pair potential V(r) for a three-dimensional many-particle system whose classica...

Diamondoids and DNA Nanotechnologies

Diamondoids are cage-like saturated hydrocarbons consisting of fused cyclohexane rings. The Diamondoids family of compounds is one of the best candidates for molecular building blocks (MBBs) in nanotechnology to construct organic nanostructures compared to other MBBs known so far. The challenge is to find a route for self-assembly of these cage hydrocarbons and their applications in the bottom-...

Deliverable 5.1.2 Self-management and Optimization Framework Seventh Framework Programme Specific Targeted Research Project Open Source Blueprint for Large Scale Self-organising Cloud Environments for Iot Applications D5.1.2 Self-management and Optimization Framework Deliverable 5.1.2 Self-management and Optimization Framework

Interactive Mechanical Design Variation for Haptics and CAD

A fast design variation technique for mechanical systems is presented. It is used to interactively optimize mechanical characteristics while “self-assembling” or satisfying large systems of mechanical constraints. The high speed method is central to providing inverse dynamics force feedback in haptics and control applications. Performance advantages with the use of augmented coordinates for inv...

Synthetic diamond and wurtzite structures self-assemble with isotropic pair interactions.

Using inverse statistical-mechanical optimization techniques, we have discovered isotropic pair interaction potentials with strongly repulsive cores that cause the tetrahedrally coordinated diamond and wurtzite lattices to stabilize, as evidenced by lattice sums, phonon spectra, positive-energy defects, and self-assembly in classical molecular dynamics simulations. These results challenge conve...