Toward polaron kinetics in the Bogoliubov reduced description method
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 2, pp. 341-357 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the framework of the Bogoliubov method of reduced description of nonequilibrium states, which is based on his functional hypothesis, we obtain a kinetic equation for arbitrary inhomogeneous electron states in a polar crystal in the presence of a strong electric field. Using the reduced description method, we study the equalization of velocities and temperatures of the polaron gas with a small density and the phonon subsystem in the presence of a weak electric field in the spatially homogeneous case. We establish that the nonequilibrium distribution function of a polaron differs from the Maxwell distribution even in the approximation that is linear in small differences between the subsystem velocities and temperatures. We calculate the corresponding relaxation times and polaron mobility.
Mots-clés : polaron
Keywords: Bogoliubov reduced description method, functional hypothesis, kinetic equation, strongly inhomogeneous state, strong electric field, relaxation phenomenon, polaron mobility.
@article{TMF_2011_168_2_a9,
     author = {S. A. Sokolovsky},
     title = {Toward polaron kinetics in {the~Bogoliubov} reduced description method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {341--357},
     year = {2011},
     volume = {168},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_2_a9/}
}
TY  - JOUR
AU  - S. A. Sokolovsky
TI  - Toward polaron kinetics in the Bogoliubov reduced description method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 341
EP  - 357
VL  - 168
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_168_2_a9/
LA  - ru
ID  - TMF_2011_168_2_a9
ER  - 
%0 Journal Article
%A S. A. Sokolovsky
%T Toward polaron kinetics in the Bogoliubov reduced description method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 341-357
%V 168
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2011_168_2_a9/
%G ru
%F TMF_2011_168_2_a9
S. A. Sokolovsky. Toward polaron kinetics in the Bogoliubov reduced description method. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 2, pp. 341-357. http://geodesic.mathdoc.fr/item/TMF_2011_168_2_a9/

[1] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M., L., 1946 | MR

[2] N. N. Bogolyubov, N. N. Bogolyubov (ml.), Aspekty teorii polyarona, Fizmatlit, M., 2004; Н. Н. Боголюбов, Собр. научных трудов, т. 7, Введение в квантовую статистическую механику. Аспекты теории полярона, ред. А. Д. Суханов, Наука, М., 2007, 375–559 | MR | Zbl

[3] L. Landau, Physikal. Z. UdSSR, 3 (1933), 664–665 | Zbl

[4] H. Fröhlich, Adv. Phys., 3:11 (1954), 325–361 | DOI | Zbl

[5] A. S. Davydov, Teoriya tverdogo tela, Nauka, M., 1976

[6] A. I. Akhiezer, S. V. Peletminskii, Metody statisticheskoi fiziki, Nauka, M., 1977 | MR

[7] A. I. Sokolovskii, Ukr. fiz. zhurn., 45:4–5 (2000), 548–553 | MR

[8] K. K. Thornber, R. P. Feynman, Phys. Rev. B, 1:10 (1970), 4099–4114 | DOI

[9] S. A. Sokolovskii, I. M. Chernenko, Vestnik Dnepropetrovskogo un-ta. Ser. Fizika. Radioelektronika, 10 (2003), 152–159

[10] Dzh. Fertsiger, G. Kaper, Matematicheskaya teoriya protsessov perenosa v gazakh, eds. D. N. Zubarev, A. G. Bashkirov, Mir, M., 1976

[11] L. D. Landau, ZhETF, 7 (1937), 203–209 | Zbl

[12] A. F. Aleksandrov, L. S. Bogdankevich, A. A. Rukhadze, Osnovy elektrodinamiki plazmy, Vysshaya shkola, M., 1988 | MR

[13] Yu. A. Firsov (red.), Polyarony, Nauka, M., 1975

[14] S. A. Sokolovsky, “Kinetic equation for electron in polar crystal in the presence of strong electric field”, Proc. of 13th International Conference on Mathematical Methods in Electromagnetic Theory (Kyiv, Ukraine, September 6–8, 2010), Wiley-IEEE Press, New York, 2010, 1–4 | DOI

[15] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatlit, M., 1971 | MR | MR | Zbl

[16] Dzh. Zaiman, Elektrony i fonony. Teoriya yavlenii perenosa v tverdykh telakh, IL, M., 1962 | Zbl

[17] C. A. Sokolovskii, A. I. Sokolovskii, I. M. Chernenko, Vestnik Kharkovskogo natsion. un-ta. Ser. fiz. “Yadra, chastitsy, polya”, 642:3(25) (2004), 84–88

[18] A. I. Anselm, Vvedenie v teoriyu poluprovodnikov, Nauka, M., L., 1978 | MR