Geodesic
Distribution function and conductivity of a system of charged particles in linear response theory: Kubo theory and the nonequilibrium statistical operator method
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 300-311 
V. B. Bobrov; R. Redmer; G. Röpke; S. A. Triger. Distribution function and conductivity of a system of charged particles in linear response theory: Kubo theory and the nonequilibrium statistical operator method. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 300-311. http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a13/
@article{TMF_1991_86_2_a13,
     author = {V. B. Bobrov and R. Redmer and G. R\"opke and S. A. Triger},
     title = {Distribution function and conductivity of a~system of charged particles in linear response theory: {Kubo} theory and the nonequilibrium statistical operator method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {300--311},
     year = {1991},
     volume = {86},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a13/}
}
TY  - JOUR
AU  - V. B. Bobrov
AU  - R. Redmer
AU  - G. Röpke
AU  - S. A. Triger
TI  - Distribution function and conductivity of a system of charged particles in linear response theory: Kubo theory and the nonequilibrium statistical operator method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1991
SP  - 300
EP  - 311
VL  - 86
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a13/
LA  - ru
ID  - TMF_1991_86_2_a13
ER  - 
%0 Journal Article
%A V. B. Bobrov
%A R. Redmer
%A G. Röpke
%A S. A. Triger
%T Distribution function and conductivity of a system of charged particles in linear response theory: Kubo theory and the nonequilibrium statistical operator method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1991
%P 300-311
%V 86
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a13/
%G ru
%F TMF_1991_86_2_a13

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

In the framework of Kubo theory and the nonequilibrium statistical operator (NSO) method, general expressions are obtained for the linearized distribution function that take into account exactly the interparticle interaction and are valid for arbitrary frequency $\omega$ and wave vector $\mathbf q$ of an external electric field. It is shown that the results of Kubo theory and the NSO method are equivalent for the linearized distribution function and the conductivity of a system of charged particles. A connection is established between the linearized distribution function and the electric field in the medium. An analysis of the obtained expressions in the long-wavelength limit shows that Kubo's formula for the frequency dispersion of the conductivity characterizes the response to the total field in the medium.

[1] Silin V. P., Vvedenie v kineticheskuyu teoriyu gazov, Nauka, M., 1971

[2] Klimontovich Yu. L., Kineticheskaya teoriya neidealnogo gaza i neidealnoi plazmy, Nauka, M., 1975 | MR

[3] Kadanov L., Beim G., Kvantovaya statisticheskaya mekhanika, Mir, M., 1964

[4] Ebeling W. et al., Transport properties of dense plasmas, Akademie-Verlag, Berlin, 1983 | Zbl

[5] Kubo R., J. Phys. Soc. Japan, 12 (1957), 570–583 | DOI | MR

[6] Zubarev D. N., Neravnovesnaya statisticheskaya termodinamika, Nauka, M., 1971

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

[8] Zubarev D. N., “Sovremennye metody statisticheskoi teorii neravnovesnykh protsessov”, Itogi nauki i tekhniki. Sovremennye problemy matematiki, 15, VINITI, M., 1980, 131–226 | MR

[9] Christoph V., Röpke G., Phys. Stat. Sol. (b), 131 (1985), 11–42 | DOI

[10] Röpke G., Phys. Rev. A, 38:6 (1988), 3001–3016 | DOI

[11] Röpke G., Redmer R., Phys. Rev. A, 39:2 (1989), 907–910 | DOI | MR

[12] Abrikosov A. A., Gorkov L. P., Dzyaloshinskii I. E., Metody kvantovoi teorii polya v statisticheskoi fizike, GIFML, M., 1962 | MR

[13] Balabanyan G. O., TMF, 80:3 (1989), 452–460 | MR

[14] Bobrov V. B., Tovstopyat-Nelip I. I., Triger S. A., Effektivnaya chastota stolknovenii i chastotnaya dispersiya provodimosti plazmennykh sistem, Preprint IVTAN No 1-259, IVTAN, M., 1989

[15] Bobrov V. B., Triger S. A., DAN SSSR, 310 (1990), 850–853

[16] Silin V. P., Rukhadze A. A., Elektromagnitnye svoistva plazmy i plazmopodobnykh sred, Atomizdat, M., 1961

[17] Bobrov V. B., Ozrin V. D., Trigger S. A., Physica A, 164 (1990), 453–468 | DOI

[18] Bobrov V. B., Triger S. A., DAN SSSR, 287:1 (1986), 104–107

[19] Bobrov V. B., Trigger S. A., Physica A, 151 (1988), 482–494 ; 495–508 | DOI