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Article Dans Une Revue European Journal of Physics Année : 2006

On the free energy within the mean-field approximation.

Résumé

We compare two widespread formulations of the mean-field approximation based on minimizing an appropriately built mean-field free energy. We use the example of the anti-ferromagnetic Ising model to show that one of these formulations does not guarantee the existence of an underlying variational principle. This results in a severe failure where straightforward minimization of the corresponding mean-field free energy leads to incorrect results.

Dates et versions

hal-00172828 , version 1 (18-09-2007)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Rafael Agra, Frédéric van Wijland, Emmanuel Trizac. On the free energy within the mean-field approximation.. European Journal of Physics, 2006, 27 (2), pp.407. ⟨10.1088/0143-0807/27/2/022⟩. ⟨hal-00172828⟩
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