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One‐Particle Distribution Functions and Thermodynamics of Crystals with Many‐Body Forces. III. Perturbation Theory
Author(s) -
Zubov V. I.
Publication year - 1976
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19764880206
Subject(s) - anharmonicity , helmholtz free energy , physics , zeroth law of thermodynamics , perturbation theory (quantum mechanics) , distribution function , quantum , perturbation (astronomy) , statistical physics , classical mechanics , quantum mechanics
The theory of crystalline state described in preceding papers is considered as a zeroth‐order approximation. Statistical perturbation theory is used for the purpose of improving this approximation. The second‐order corrections to the Helmholtz free energy and thermodynamic properties of strongly anharmonic crystals are derived. The properties of solid Ar, Kr, and Xe are calculated using various pair‐potential functions in conjunction with the A XILROD ‐T ELLER ‐M UTO three‐body potential. The first quantum corrections are taken into account in the quasi‐classical approximation. The result of computations are compared with the experimental data.