On quantum kinetic equation for hierarchic systems

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, L. Crane, J. Math. Phys. 46 (2005) 122502], 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.