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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04-06-2024
Physics

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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)].

Sagot :

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