Fast Generation of Potentials for Self-Assembly of Particles
| dc.creator | Toit, Philip du | |
| dc.creator | Grubits, Katalin | |
| dc.creator | Marsden, Jerrold | |
| dc.creator | Costiner, Sorin | |
| dc.date | 2009-05-12 | |
| dc.date.accessioned | 2026-07-07T13:14:09Z | |
| dc.date.available | 2026-07-07T13:14:09Z | |
| dc.description | 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 is 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. | |
| dc.description | 43 pages, 15 figures | |
| dc.identifier | https://arxiv.org/abs/0905.1926 | |
| dc.identifier | http://arxiv.org/abs/0905.1926 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230122 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Fast Generation of Potentials for Self-Assembly of Particles | |
| dc.type | text |