Geodesic
On the problem of the ergodic constant in the theory of classical Green's functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 459-473 
G. O. Balabanyan. On the problem of the ergodic constant in the theory of classical Green's functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 3, pp. 459-473. http://geodesic.mathdoc.fr/item/TMF_1990_84_3_a11/
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     title = {On~the problem of~the ergodic constant in~the theory of~classical {Green's} functions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the theory of classical equilibrium Green's functions, a method is proposed for finding the spectral intensities of the time correlation functions that makes it possible to establish effectively whether or not they have $\delta$-function singularities at $\omega=0$. The spectral intensity of the density–density correlation function is calculated in the mean field approximation as an illustration.

[1] Bogolyubov N. N., Tyablikov S. V., DAN SSSR, 126:1 (1959), 53–56 | Zbl

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

[3] Zubarev D. N., UFN, 71:1 (1960), 71–116 | DOI | MR

[4] Zubarev D. N., Tserkovnikov Yu. A., “Metod dvukhvremennykh temperaturnykh funktsii Grina v ravnovesnoi i neravnovesnoi statisticheskoi mekhanike”, Trudy MIAN im. V. A. Steklova, 175, No 3, Nauka, M., 1986, 134–177 | MR

[5] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR

[6] Bonch-Bruevich V. L., Tyablikov S. V., Metod funktsii Grina v statisticheskoi mekhanike, Fizmatgiz, M., 1961 | MR

[7] Bogolyubov N. N. (ml.), Sadovnikov B. I., Nekotorye voprosy statisticheskoi mekhaniki, Vysshaya shkola, M., 1975 | MR

[8] Ramos J. G., Gomes A. A., Nuovo Cim. A, 3:2 (1971), 441–455 | DOI | MR

[9] Aksenov V. L., Konvent G., Shraiber Yu., TMF, 38:3 (1979), 388–398 | MR

[10] Suzuki M., Physica, 51:3 (1971), 277–291 | DOI | MR

[11] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR

[12] Bratteli U., Robinson D., Operatornye algebry i kvantovaya statisticheskaya mekhanika, Mir, M., 1982 | MR | Zbl

[13] Balabanyan G. O., TMF, 80:1 (1989), 118–137 | MR

[14] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1981 | MR

[15] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1979 | MR

[16] Bremerman G., Raspredeleniya, kompleksnye peremennye i preobrazovanie Fure, Mir, M., 1968 | MR | Zbl

[17] Nussentsveig Kh. M., Prichinnost i dispersionnye sootnosheniya, Mir, M., 1976

[18] Bogolyubov N. N., Parasyuk O. S., DAN SSSR, 109:4 (1956), 717–719 | MR | Zbl

[19] Bogolyubov N. N., Medvedev B. V., Polivanov M. K., Voprosy teorii dispersionnykh sootnoshenii, Fizmatgiz, M., 1958 | MR

[20] Mori H., Progr. Theor. Phys., 33:3 (1965), 423–455 | DOI | MR | Zbl

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

[22] Bogolyubov N. N., K voprosu o gidrodinamike sverkhtekuchei zhidkosti, Preprint R-1395, OIYaI, Dubna, 1963; Избранные труды, Т. 3, Наукова думка, Киев, 1971, С. 244–281. | MR

[23] Kadanoff L. P., Martin P. S., Ann. Phys., 24:3 (1963), 419–469 | DOI | MR | Zbl

[24] Balesku R., Ravnovesnaya i neravnovesnaya statisticheskaya mekhanika, T. 1, 2, Mir, M., 1978 | MR

[25] Landau L. D., Sobranie trudov, T. 2, Nauka, M., 1969 | MR

[26] Zwanzig R., Phys. Rev., 144:1 (1966), 170–177 | DOI | MR