Geodesic
Theory of a crystal with allowance for collective vibrations
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 125-132 
I. P. Bazarov; P. N. Nikolaev. Theory of a crystal with allowance for collective vibrations. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 1, pp. 125-132. http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a12/
@article{TMF_1977_31_1_a12,
     author = {I. P. Bazarov and P. N. Nikolaev},
     title = {Theory of a crystal with allowance for collective vibrations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {125--132},
     year = {1977},
     volume = {31},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a12/}
}
TY  - JOUR
AU  - I. P. Bazarov
AU  - P. N. Nikolaev
TI  - Theory of a crystal with allowance for collective vibrations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1977
SP  - 125
EP  - 132
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a12/
LA  - ru
ID  - TMF_1977_31_1_a12
ER  - 
%0 Journal Article
%A I. P. Bazarov
%A P. N. Nikolaev
%T Theory of a crystal with allowance for collective vibrations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1977
%P 125-132
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1977_31_1_a12/
%G ru
%F TMF_1977_31_1_a12

Voir la notice de l'article provenant de la source Math-Net.Ru

One-particle and binary distribution functions are found and the thermodynamics of crystal is constructed taking into account collective oscillations of particles. Anharmonic effects in such crystals are considered.

[1] I. P. Bazarov, Statisticheskaya teoriya kristallicheskogo sostoyaniya, MGU, 1972

[2] N. N. Bogolyubov, Izbrannye trudy, t. 2, «Naukova dumka», Kiev, 1970 | MR

[3] P. C. Hammer, A. H. Stroud, “Numerical evaluation of multiple integrals, II”, Math. Tables and other Alds. Comp., 12:64 (1958), 272 | DOI | MR | Zbl

[4] R. A. Guyer, Sol. State Phys., 23 (1969), 413 | DOI

[5] E. R. Dobbs et al., Nature, 178 (1956), 483 | DOI

[6] J. R. Barker, E. R. Dobbs, Phil. Mag., 46 (1955), 1069 | DOI