Geodesic
Method of asymptotic operators in statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 88-105
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The role the principle of correlation weakening and the ergodic relationships p!ay in determining the secular terms (asymptotic operators) in the perturbation series for the density matrix is considered. The asymptotic operators are used to find the approximate density matrix at a simplified stage of the evolution and to find the density matrix's low-frequency singular part, which determines the system's response to an external perturbation. 
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S. V. Peletminskii; V. I. Prikhod'ko. Method of asymptotic operators in statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 1, pp. 88-105. http://geodesic.mathdoc.fr/item/TMF_1972_12_1_a8/

[1] L. Van Hove, Physica, 21 (1965), 517 ; 23 (1957), 441 | MR | DOI | MR | Zbl

[2] I. Prigozhin, Neravnovesnaya statisticheskaya mekhanika, «Mir», 1964

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

[4] N. N. Bogolyubov, Preprint D-781, OIYaI, 1961 | MR

[5] S. V. Peletminskii, A. A. Yatsenko, ZhETF, 53 (1967), 1327

[6] S. V. Peletminskii, A. A. Yatsenko, Preprint ITF-68-5, Kiev, 1968

[7] D. N. Zubarev, DAN SSSR, 140 (1961), 92 ; Неравновесная статистическая термодинамика, «Наука», 1971 | Zbl

[8] D. N. Zubarev, V. P. Kalashnikov, TMF, 3 (1970), 126 | MR

[9] L. A. Pokrovskii, DAN SSSR, 183 (1968), 806

[10] S. V. Peletminskii, V. D. Tsukanov, TMF, 7 (1971), 395 | Zbl