Abstract:
A study is made of the role of ergodic relationships (related to the Hamiltonian of the zeroth
approximation H0) in the construction of kinetics when there are alternating external fields.The integral equations obtained for the density matrix determine the non-Markov nature of the evolution of a system in a high-frequency external field. In the low-density approximation kinetic equations are obtained for the Wigner distr ibution function with a collision integral that is nonlocal in the time. A study is made of the relationship between the questions considered in this paper and the nonequilibrium statistical operator method of Zubarev and Kalashnikov.
Citation:
S. V. Peletminskii, V. D. Tsukanov, “On the kinetics of systems in alternating external fields”, TMF, 7:3 (1971), 395–411; Theoret. and Math. Phys., 7:3 (1971), 617–628
\Bibitem{PelTsu71}
\by S.~V.~Peletminskii, V.~D.~Tsukanov
\paper On the kinetics of systems in alternating external fields
\jour TMF
\yr 1971
\vol 7
\issue 3
\pages 395--411
\mathnet{http://mi.mathnet.ru/tmf4320}
\zmath{https://zbmath.org/?q=an:0212.12703}
\transl
\jour Theoret. and Math. Phys.
\yr 1971
\vol 7
\issue 3
\pages 617--628
\crossref{https://doi.org/10.1007/BF01032081}
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https://www.mathnet.ru/eng/tmf4320
https://www.mathnet.ru/eng/tmf/v7/i3/p395
This publication is cited in the following 11 articles:
H. Ness, “Nonequilibrium density matrix in quantum open systems: Generalization for simultaneous heat and charge steady-state transport”, Phys. Rev. E, 90:6 (2014)
S. O. Nikolayenko, Yu. V. Slyusarenko, “Microscopic theory of relaxation processes in systems of particles interacting with the hydrodynamic medium”, Journal of Mathematical Physics, 50:8 (2009)
È. G. Petrov, V. I. Teslenko, “Kinetic equations for a quantum dynamical system interacting with a thermal reservoir and a random field”, Theoret. and Math. Phys., 84:3 (1990), 986–995
È. G. Petrov, “Kinetic equations for a dynamical system in a condensed medium and a strong external field”, Theoret. and Math. Phys., 68:1 (1986), 714–721
V. P. Seminozhenko, Zh. V. Slezova, V. L. Sobolev, “Homogeneous resonance in magnetic materials under nonresonant parallel pumping”, Soviet Journal of Low Temperature Physics, 11:7 (1985), 410
V. P. Seminozhenko, A. A. Yatsenko, “Kinetics of systems in strong alternating fields”, Theoret. and Math. Phys., 47:2 (1981), 457–464
Methods of Statistical Physics, 1981, 436
V. P. Kalashnikov, M. I. Auslender, “Generating Functionals in Nonequilibrium Statistical Mechanics”, Fortschr. Phys., 27:8 (1979), 355
V. P. Vstovskii, “Macroscopic description of open dynamical systems”, Theoret. and Math. Phys., 31:3 (1977), 540–548
R. Kh. Amirov, S. A. Smolyanskii, L. Sh. Shekhter, “On the theory of quantum kinetic processes in strong alternating fields”, Theoret. and Math. Phys., 21:2 (1974), 1116–1124
S. V. Peletminskii, V. I. Prikhod'ko, “Method of asymptotic operators in statistical mechanics”, Theoret. and Math. Phys., 12:1 (1972), 680–691
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