Array of magnets around a sphere

  • Thread starter intervoxel
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  • #1
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An array of N magnets which can turn freely about their centers in any direction in 3d space is distributed uniformly around a spherical surface (their centers). What is the configuration of equilibrium of the system after some time? (minimum energy)

Do you know of any work showing that?

Thanks.
 

Answers and Replies

  • #2
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How much 'uniformly' do you mean? You know, N discrete magnets cannot be in a uniform distribution.

What are the exact locations of the magnets? To get quantitative result, we need more specific information than just that they are on a sphere. I think I can get some numerical solutions once I have an idea about the initial conditions.
 
  • #3
CWatters
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It's not possible to make a spherical magnet with one pole inside and the other outside. If you try you won't get the result you might hope for.
 
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  • #5
195
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How much 'uniformly' do you mean? You know, N discrete magnets cannot be in a uniform distribution.

What are the exact locations of the magnets? To get quantitative result, we need more specific information than just that they are on a sphere. I think I can get some numerical solutions once I have an idea about the initial conditions.

Thanks for your reply, j824h. I was thinking of points belonging to a cubic lattice nearest to a spherical surface of integer radius.
 
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