I Could a distribution of magnetic Dipoles create an Energy minimum

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1. Jun 10, 2017

davidt92

The think is that I would like to create a magnetic trap "minimum of magnetic potential energy in all 3 directions of space" using a distribution of magnetic dipoles as a field generator.

In other words, I would like to know if setting in some way some magnetic dipoles is possible to create a point in space [x,y,z] with a magnetic field that surrounds this position having a lower value in all directions, in order to put a particle with the dipole moment aligned to the magnetic field at position [x,y,z] and could remain there.

2. Jun 10, 2017

Staff Emeritus
That's a description of a magnetic field with non-zero divergence. Unfortunately, magnetic fields have zero divergence.

3. Jun 10, 2017

Staff: Mentor

4. Jun 11, 2017

davidt92

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Is exactly the opposite of this, A Magnetic bottles is usefull for charged particles, iI don't have a charged particle, instead I have a neutral particle with dipole moment. So based on the formula $$E=-\vec{m}*\vec{B}$$ a minimum in energy will be when having a maximum in magnetic field, So i wolud like to create some distribution of dipoles f.ex, something similar to this:

That have a minimum in energy somewhere in space.

5. Jun 11, 2017

CWatters

6. Jun 11, 2017

rumborak

Just to preempt the inevitable YouTube videos, Earnshaw's theorem only applies to static and paramagnetic magnets. You can levitate things by using diamagnetic materials, or by varying the fields dynamically.

7. Jun 12, 2017