Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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V. M. Kolomietz, S. V. Radionov

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: We investigate the effect of quantum mechanical diffusion in the space of adiabatic states of intrinsic nucleonic subsystem on the dissipative properties of macroscopic collective dynamics. By applying the cranking model approach to the nuclear macroscopic dynamics, we derive the Newtonian-like equation of motion for a single collective variable, where the dissipative character of the collective dynamics is due to both the Landau-Zener transitions and the Kubo mechanism. A diffusion equation is used to determine the time evolution of the occupation probabilities of the nuclear states. The transport characteristics are calculated for Gaussian orthogonal and unitary ensembles of the energy levels. We discuss under what conditions a time-irreversible energy exchange between the collective and nucleonic degrees of freedom is possible.

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