Statistical Physics of Wave Interactions by Fabrizio Antenucci

Author:Fabrizio Antenucci
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

where as usual

Then one can proceed fixing , r and and evaluating for both the solutions with and (when present): the static value of corresponds to the point where the two free energies are equal.

The free energy of the PM phase is ()

(3.58)

where is the solution of (with the usual notation of Eq. (3.44))

and note that the PM free energy depends only on and r.

Fig. 3.7Phase diagram for the model with (only 4-body interaction). At the transition is at

The free energy of the FM phase is

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