Fast Generation of Potentials for Self-Assembly of Particles [article]

Philip du Toit, Katalin Grubits, Jerrold Marsden, Sorin Costiner
2009 arXiv   pre-print
We address the inverse problem of designing isotropic pairwise particle interaction potentials that lead to the formation of a desired lattice when a system of particles is cooled. The design problem is motivated by the desire to produce materials with pre-specified structure and properties. We present a heuristic computation-free geometric method, as well as a fast and robust trend optimization method that lead to the formation of high quality honeycomb lattices. The trend optimization method
more » ... s particularly successful since it is well-suited to efficient optimization of the noisy and expensive objective functions encountered in the self-assembly design problem. We also present anisotropic potentials that robustly lead to the formation of the kagome lattice, a lattice that has not previously been obtained with isotropic potentials.
arXiv:0905.1926v1 fatcat:eruaqcy7vfaivkyooovzp77hqi