Consider you have an Ising lattice with a dominant up component out of thermal equilibrium, that's your initial state. The down spins want to flip up and align with the ups, and they'll do so until a thermal distribution is reached. While they flip, the overall magnetization increases. Does that create a current by induction? I haven't been able to find a good reference.


According to Maxwell's equations, a changing magnetic field creates an electric field, not a current.

This effect would indeed happen, but the Ising model just doesn't contain it. It also assumes that you have "spins on a lattice", which also don't really exist in this form (in reality, they are electrons which belong to atoms in a crystal lattice), and there is a bucketload of other effects which are also not considered.

  • $\begingroup$ I was thinking of an atomic lattice. What does the electric fields to electrons in the conducting band if not create a current? But you're right in that my question confuses both. In any case, do you have any sort of reference for whether or not magnetic induction is or isn't present? $\endgroup$ – WIMP Apr 8 '13 at 7:18
  • $\begingroup$ I'm quite sure that induction is present. I don't have a reference, but aren't the Maxwell equations enough for you? $\endgroup$ – zonksoft Apr 8 '13 at 8:19
  • $\begingroup$ What I'm looking for is the Ising model coupled to the current, so that one can calculate the induction from the lattice parameters. Alternatively, has somebody just plainly measured it? I mean, is there some reference on this? See, it isn't really clear to me how local currents do or don't add up to a global one. $\endgroup$ – WIMP Apr 11 '13 at 8:14

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.