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The Ising ModelBinary variables:i1, i 1,...,Non a graph of N sitesinteracting via the Hamiltonian:HN E J Hi, j:nnNi j ii125Order parameterspontaneous magnetization:MN1( T ) lim iH 0Ni1M( T T)cordered phasedisordered phasecriticaltemperatureβ = 1/8 (2d)β ≈ 0.326 (3d)26
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