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On quantum kinetic equation for hierarchic systems. (English) Zbl 1235.83091
Summary: The energy dissipation in a gas of structured objects, e.g. molecules, is considered. It is shown that the macroscopic irreversibility of the kinetic processes can be considered as a consequence of the microscopic operator ordering. Our approach is free of any special assumptions on the space-time geometry, except for the general region causality assumptions [J.C. Christensen and L. Crane, J. Math. Phys. 46, No. 12, Article No. 122502, 17 p. (2005; Zbl 1111.83302)], it can be applied to a wide variety of processes, from the cosmological processes at Big Bang stage till the energy dissipation in molecular gases.

MSC:
83F05 Cosmology
81S22 Open systems, reduced dynamics, master equations, decoherence
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
82C35 Irreversible thermodynamics, including Onsager-Machlup theory
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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