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Landau free energy, ising mean field and the "full partition function". Discrepancy between two similar approaches
From what I understand, for example, in the neighbor interactions Ising model, we can write the partition function as: $$Z = \sum_{m}\Omega(m)e^{-\beta E(m)}=\sum_{m}e^{-\beta \tilde F(m)}=e^{-\beta F}...
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