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In the mean-field approximation, the partition function of the Ising model is given by ₘF=⁻m²/²(2coℎ(ℎₑ)), where denotes the number of neighbors per spin site, m is the magnetization and ℎₑ= ℎ+m. Using the partition function, show that the mean-field approximation leads to the self-consistency equation m=ℎ[(ℎ+m)].
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