N.N. Bogoliubov’s contribution to nonequilibrium statistical mechanics (1937–1945)
Tóm tắt
It is shown that many important and still relevant results in the field of nonequilibrium statistical mechanics were derived by Bogoliubov (jointly with N.M. Krylov) early in the prewar years and were completely published in a still insufficiently known monograph of 1945. Among these findings were the concept of time hierarchy for stochastic evolution, the concept of quasi-averages that remove symmetry relative to time inversion, and the mechanism of dynamic relaxation of a physical object in a thermostat.
Tài liệu tham khảo
N. N. Bogolyubov, Collection of Scientific Works, in 12 vols. (Nauka, Moscow, 2005–2009) [in Russian].
N. N. Bogolyubov, Statistical Methods in Mathematical Physics (Akad. Nauk Ukrain. SSR, Lvov, 1945) [in Russian].
N. M. Plakida, V. A. Zagrebnov, Yu. G. Rudoi, and E. E. Tareeva, “Nikolai Nikolaevich Bogolyubov and Statistical Mechanics,” in N. N. Bogolyubov, Collection of Scientific Works, (Nauka, Moscow, 2006), Vol. 5, pp. 9–57 [in Russian].
N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981; Vysshaya Shkola, Moscow, 1990).
A. M. Yaglom, Correlation Theory of Stationary and Related Random Functions (Leningrad, 1981; Springer, Heidelberg, 1986).
L. van Hove, Physica 21, 901 (1955); Physica 22, 343 (1956).
D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Nauka, Moscow, 1971; Consultants Bureau, New York, 1974).
A. V. Shelest, Bogolyubov’s Method in Dynamical Theory of Kinetic Equations (Nauka, Moscow, 1991) [in Russian].