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Ising model and more complex interactions between particles

  1. Jul 1, 2010 #1
    First of all, sorry if my question is trivial but I'm not a physicist ;-)
    I heard a lot about the Ising model used to compute the energy of a system with 2 states. This model seems to be a bit "simple" because it assumes that particles interact with their nearest neighbors only. I was wondering if they were more complicated models that would consider more complicated interactions ?
  2. jcsd
  3. Jul 5, 2010 #2
    [tex]E = \sum_{ij} J_{ij} S_i S_j[/tex]
    Actually, I was wrong cause we can really put whatever we want in [tex]J_{ij}[/tex], is that right ? If we do so, we can also approximate the solution that minimizes the energy function ?
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