Geodesic
Free energy of an anharmonic crystal
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 135-146
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The method of two-time Green's functions is used to obtain an expression for the free energy as a cumulant expansion in irreducible correlation functions; this is represented as an expansion in the renormalized anharmonic interaction. A selfeonsistent approach to the calculation of the free energy is considered and a closed expression is obtained for it in the second order in the interaction. 
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N. M. Plakida. Free energy of an anharmonic crystal. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 135-146. http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a11/

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