Geodesic
Time asymptotic behavior of the burnett correlation function in the Lorentz model
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 272-287 
V. D. Ozrin. Time asymptotic behavior of the burnett correlation function in the Lorentz model. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 2, pp. 272-287. http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a9/
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     author = {V. D. Ozrin},
     title = {Time asymptotic behavior of the burnett correlation function in the {Lorentz} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {272--287},
     year = {1988},
     volume = {76},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_2_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a Lorentz gas of hard spheres an exact formula is obtained that relates the coefficient $w$ in the asymptotic behavior of the Burnett correlation function $W(t)\approx wt^{-d/2}$ to the integral of the equilibrium two-body correlation function. The results of calculation of the asymptotic behaviors of the velocity correlation functions in the framework of the microscopic approach are compared with the conclusions of the phenomenological mode coupling theory.

[1] Ozrin V. D., TMF, 57:2 (1983), 290–303 | MR

[2] Ozrin V. D., TMF, 60:1 (1984), 93–106 | MR

[3] McLennan J. A., Phys. Rev., 8A:3 (1973), 1479–1485 | DOI

[4] Ernst M. H., van Beijeren H., J. Stat. Phys., 26:1 (1981), 1–24 | DOI | MR

[5] Ernst M. H., Machta J., Dorfman J. R., van Beijeren H., J. Stat. Phys., 34:3/4 (1984), 477–495 | DOI | MR

[6] Machta J., Ernst M. H., van Beijeren H., Dorfman J. R., J. Stat. Phys., 35:3/4 (1984), 413–442 | DOI | MR | Zbl

[7] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike. Izbr. tr., t. 2, Naukova dumka, Kiev, 1970 | MR

[8] Ernst M. H., Dorfman J. R., Hoegy W., van Leeuwen J. M. J., Physica, 45:1 (1969), 127–146 | DOI | MR

[9] Grassberger P., Physica, 130A:3 (1980), 558–572 | DOI | MR

[10] Van Beijeren H., Rev. Mod. Phys., 54:1 (1982), 195–234 | DOI | MR