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On the Statistical Distribution Functions of the Anharmonic Crystal
Author(s) -
Olkhovskii† I. I.
Publication year - 1980
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221020225
Subject(s) - anharmonicity , simultaneous equations , lattice (music) , distribution function , perturbation (astronomy) , independent equation , integral equation , mathematics , mathematical analysis , crystal (programming language) , perturbation theory (quantum mechanics) , distribution (mathematics) , statistical physics , physics , thermodynamics , quantum mechanics , differential equation , computer science , acoustics , programming language
The solution technique of the BBGKI equation set for symmetric distribution functions of equilibrium systems is considered. The solution of the integral equations of the first and second approximations with respect to temperature is demonstrated. The equations of state generalizing the corresponding equations in the thermodynamic perturbation theory are obtained. It is also shown that the major contribution to the equations is correlated with the distribution function coefficients which are independent of the distances between crystal lattice points. The coefficients dependent on the distance between the crystal lattice points, and giving appreciable corrections in the equations of state, are obtained.