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Home  >  Volume 22 (2012)

The Ising Model on the Bethe Lattice by Akpojotor, F.A., Babalola M.I. and Idiodi, J.O.A. Volume 22 (November, 2012), pp 43 – 48
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The Ising model is a simple model that can be solved exactly on the Bethe lattice. In this work, a review is undertaken highlighting the very important fact that the Ising model on the Bethe lattice is equivalent to an approximate treatment of the Ising model on crystalline lattices and site percolation in the Bethe Lattice.  It is observed that the results for the Bethe lattice are typically below the crystalline results by 5-15%. However, the Bethe lattice results have the correct trend of decrease as the branching ratio increases.

Keywords: Bethe lattice, crystalline lattices, cayley tree and Ising model