6 [41] Yu. E. Kuzovlev, Yu. V. Medvedev, and A. M. Grishin, JETP Letters 72 , No.11, 574 (2000). [40] Yu. E. Kuzovlev, “Relaxation and 1/f-noise in phonon systems”, JETP, 84 (6), 1138 (1997). [20] Unfortunately, so trivial things are beyond field of vision of reviewers who easy write such nonsenses as: “statis- tical correlations at low density have little influence on the motion of particles” (how do you like it!). In fact. [39] M. Kac˙ Probability and related topics in physical sci- ences. Intersci. Publ., London, New York, 1957. [19] Yu. E. Kuzovlev, arXiv: cond-mat/0609515 , 0612325 . [18] E. Lucasc. Characteristic functions. Ch.Griffin & Co., London, 1960. [38] May be, more careful and fine considerations like e.g. [32] will make this comprehensible to all. [17] Yu.E.Kuzovlev and G.N.Bochkov, Pis’ma v ZhTF 8 , No.20, 1260 (1982) [translated into English in Sov. Tech. Phys. Lett. (1982)]. [37] Apparently, just such damaged equations are taken in mind as “hard-sphere BBGKY hierarchy” by amateurs of “Boltzmann hierarchy”. [36] G.N. Bochkov and Yu.E. Kuzovlev, Physica A 106 443, 480 (1981). [16] G. N. Bochkov and Yu. E. Kuzovlev, “New aspects in 1/f noise studies”, Sov.Phys.-Uspekhi 26 , 829-853 (1983). [15] G. N. Bochkov and Yu. E. Kuzovlev. “On the theory of 1/f noise.” Preprint No.195, NIRFI, Gorkii (Nijniy- Novgorod), Russia, 1985 (in Russian). [35] G.N. Bochkov and Yu.E. Kuzovlev, Sov.Phys.-JETP 45 , 125 (1977); 49 , 543 (1979); 52 , No. 12 (1980). [34] In my previous papers thece functions were designated as V$_{k}$ in place of C$_{k}$ . [14] G. N. Bochkov and Yu. E. Kuzovlev, “On probabilistic characteristics of 1/f noise.” Radiophysics and Quantum Electronics 27 , No.9, 811-816 (1984). [13] Yu. E. Kuzovlev and G. N. Bochkov, Radiophysics and Quantum Electronics 26 , No.3, 228-233 (1983). [33] The probability densities of finding BP at point R with momentum P and simultaneously finding out some k atoms at points r$_{j}$ with momenta p$_{j}$ [1, 2, 5, 21, 22]. In respect to atom variables, all these distribution functions can be defined exactly as in [5]. [12] Yu. E. Kuzovlev and G. N. Bochkov. “On origin and sta- tistical characteristics of 1/f noise.” Preprint No.157, NIRFI, Gorkii (Nijniy-Novgorod), Russia, 1982. [32] H. Spohn, “On the integrated horm of the BBGKY hier- archy for hard spheres”, arXiv : math-ph/0605068 . [31] D.Ya. Petrina, “Mathematical problems of statistical me- chanics of a system of elastic balls”, Russian Mathemat- ical Surveys 45 , No.3, 153 (1990). [30] V.I. Gerasimenko and D.Ya. Petrina, “Existence of the Boltzmann-Grad limit for an infinite system of hard spheres”, Theoretical and Mathematical Physics 83 , No.1, 402-418 (1990). [11] In the low-density gas limit these fluctuations become even more (maximally) pronounced since get rid of damp- ing by collective (hydrodynamical) interactions. As these fluctuations have no specific reasons, one can say that merely they manifest non-ergodicity of kinetic behavior of many-particle dynamical systems [1, 2, 6, 8]. [10] This is realization of possible statistical property of many-particle dynamical systems foreseen by N.Krylov in his remarkable book [N. S. Krylov. Works on the founda- tions of statistical physics. Princeton, 1979] where he un- derlined that “relative frequencies of some phenomenon along a given phase trajectory, generally speaking, in no way are connected to hypothetica probabilities”, in spite of the mixing of phase trajectories (moreover, in essence, just due to the mixing). [9] Similarly, in the human life, if somebody is so much free that forgets his past expenses, then he can not plan “mean expenses per unit time”! [29] H. Spohn, “Fluctuation theory of the Boltzmann equa- tion”, in “Non-equilibrium Phenomena I: the Boltzmann equation”, Amsterdam, 1983. [28] H. van Beijeren, O. E. Lanford III, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. 22 , No.2, 237 (1980). [27] N. N. Bogolyubov. “Microscopic solutions of the Boltzmann-Enskog equation in kinetic theory for elastic balls”, Theoretical and Mathematical Physics 24 , No.2, 804-807 (1975). [26] P. Resibois and M. de Leener. Classical kinetic theory of fluids. Wiley, New York, 1977. [25] C. Cercignani. ˙ Theory and application of the Boltzmann equation. Scottish Academic Press, 1975. [24] O.E. Lanford, “Time Evolution of Large Classical Sys- tems”. In: “Dynamical Systems. Theory and Applica- tions” (ed. J. Moser), Lecture Notes in Physics 38, p.1- 111. Springer, Berlin, 1975. [8] Yu. E. Kuzovlev, arXiv: cond-mat/9903350 . [7] Yu. E. Kuzovlev, arXiv: 0907.3475 . [6] Yu. E. Kuzovlev : “The BBGKY equations, self-diffusion and 1/f noise in a slightly nonideal gas”, Sov.Phys. - JETP 67 (12) , 2469-2477 (1988). [5] N. N. Bogolyubov. Problems of dynamical theory in sta- tistical physics. North-Holland, Amsterdam, 1962. [4] Yu. E. Kuzovlev, Math. Physics Archive (http://www. ma.utexas.edu) : 07-144, 07-309, 08-209, 09-26 . [3] Yu. E. Kuzovlev, arXiv : 0705.4580 , 0710.3831 , 0802.0288 , 0803.0301 , 0804.2023 . [2] Yu. E. Kuzovlev, arXiv : 0810.5383 , 0908.0274 . [1] Yu. E. Kuzovlev, “Molecular random walk and a sym- metry group of the Bogoliubov equation” Theoret- ical and Mathematical Physics 160 (3) 1300-1314 (Sep. 2009) { DOI:10.1007/s11232-009-0117-0 } [in Rus- sian: Teoreticheskaya i Matematicheskaya Fizika 160 (3) 517-533 (Sep. 2009)]. [23] H. Grad. “Principles of the kinetic theory of gases”. in Handbuch der Physik. V.12 (ed. S.Flugge). Springer, Berlin, Heidelberg, 1958. [22] Yu.E.Kuzovlev, arXiv: 0902.2855, 0908.3007, 0911.0651. [21] Yu. E. Kuzovlev, “On Brownian motion in ideal gas and related principles”, arXiv : 0806. 4157 . of course, statistical correlations never influence on some real processes, since reside in theory. But there (at arbi- trary density!) they are the only representatives of any orocesses including particles’ interactions and collisions.