Difference between revisions of "Levitation"
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This does not apply to magnetodynamic levitation or some other nonmagnetic effects. <br> | This does not apply to magnetodynamic levitation or some other nonmagnetic effects. <br> | ||
In contrast to the macroscale there are more effects that can be exploited at the micro and nanoscale. | In contrast to the macroscale there are more effects that can be exploited at the micro and nanoscale. | ||
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| + | Given a one point support magnetostatic levitation for the remaining degrees of freedom is possible (to check). | ||
Revision as of 10:49, 17 June 2021
With Levitation one can bear very high speeds in a very small space when load isn't excessive. It offers friction levels even lower than superlubrication. If even less friction is needed sufficient emty space surrounding the movement trajectory is needed to do throw and catch maneuvers through vacuum.
Contents
Methods
Dynamic electrostatic control
Some form of electrostatic sensor is needed.
A lot should be known from MEMS here.
Electrostatic lagrange points
Mechanically forcing two equal e.g. positive charges with sufficient difference in charge [factor 24.65 = 25/2+sqrt(621)/2] to circle around each other around their hypothetical barycenter with their hypothetical natural rotation period gives two stable Lagrange points in L3 L4 for small charges of the opposite sign - just like in celestial mechanics. The ability to deviate from the natural movement might allow for further optimisation of the stable points. [To inverstigate: is there a better and if is there an optimal configutation] The usefulness of this isn't quite obvious.
Note that any (sufficiently isolated) zero dimensional nano sized object is subject to notable quantum mechanical wave dispersion and tunneling (meaning in colorful words that it kind of "dissolves" an reappears somewhere else by chance).
Casimir force
Eric Drexlers Blog (2009/04/20) about the Casimir force: [1]
Citation: "Lifshitz subsumes Casimir, and both correct London downwards"
From Nanosystems page 64 footnote:
The Casimir force is just a relativistic correction (taking retardation into account).
Making London dispersion forces fall off with r-7 rather than r-6 at larger separations.
In solution retardation effects become relevant as separations bigger than ~5nm (Israelachvili,1992).
(wiki-TODO: understand how this relates to the picture of the suppression of virtual photons between metallic plates and explain this comprehensibly)
(TODO: find the paper (stuff below) - what was up with this??)
Certain geometries like an elongated ellipsoid over a circular hole in a plate) lead to static levitation.
Negative compression bearings
When bushing and axle of a DMME-bearing form an increasingly big but not too big gap the force can switch from inward from all directions to pulling outward in all directions at the same time but still provide a stable center for the axle. This lowers the waviness and coupling of the bearing and makes it more levitation like.
This happens whe the shafts surface lies between the minimum and the inflection point of the Lennard Jones potential of the bushing atoms. Going beyond the inflection point (unloaded bearing) makes the axle stick to one side of the bushing. Going for the minimum of the potential leds to zero local stiffness (like in tensegrity structures).
Main article: Negative pressure bearings
Magnetic levitation
Magnetism does not scale well with shrinking size it becomes very weak at the nanoscale thus it's mainly useful in levitating macroscopic parts. The manipulation of magnetic properties of diamondoid materials falls unther the non mechanical technology path
Misc
There is also the method of optical tweezers (and smaller plasmonic tweezers) which could be counted as "levitation methods". (Note that these methods are likely insufficient in stiffness and force for single atom placement especially in advanced mechanosysnthesis.)
Also there is sonic "levitation" for bigger things immersed in gases. The contact to a gas comes with much higher friction though.
Applications
- nanoscale turbomelecular pumps (but the may not be needed since positive displacement pumps do just fine)
- carriage particle accelerators
- moving surface medium movers
Related
External links
- Bearings can be stable despite attractive interactions between their surfaces (at K. Eric Drexlers website)
- Wikipedia:Q factor
Impossibility of magnetostatic levitation
Magnetostatic levitation is fundamentally impossible.
This is a result of Earnshaw's theorem
This does not apply to magnetodynamic levitation or some other nonmagnetic effects.
In contrast to the macroscale there are more effects that can be exploited at the micro and nanoscale.
Given a one point support magnetostatic levitation for the remaining degrees of freedom is possible (to check).
