Control of friction at the nanoscale
US7693587B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Feb 3, 2004 |
| Grant date | Apr 6, 2010 |
| Priority date | — |
| Expiry date | Dec 28, 2025 |
Classification
- Technology area (CPC C)Chemistry; Metallurgy
- CPC primaryC10M171/00
- WIPO fieldBasic materials chemistry
- WIPO sectorChemistry
Abstract
Methods and apparatus are described for control of friction at the nanoscale. A method of controlling frictional dynamics of a plurality of particles using non-Lipschitzian control includes determining an attribute of the plurality of particles; calculating an attribute deviation by subtracting the attribute of the plurality of particles from a target attribute; calculating a non-Lipschitzian feedback control term by raising the attribute deviation to a fractionary power ξ=(2m+1)/(2n+1) where n=1, 2, 3 . . . and m=0, 1, 2, 3 . . . , with m strictly less than n and then multiplying by a control amplitude; and imposing the non-Lipschitzian feedback control term globally on each of the plurality of particles; imposing causes a subsequent magnitude of the attribute deviation to be reduced.
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.