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On Markovian kinetic equations: Zubarev's nonequilibrium statistical operator approach

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  • Łuczka, Jerzy

Abstract

Generalized Markovian kinetic equations, obtained by the Zubarev method of the nonequilibrium statistical operator NSO, are revised. In a simple example of the spin S = 12 coupled to its surroundings, it is shown that these equations are incorrect because of an inadequate Markovian approximation. A correct procedure of building Markovian equations of motion is constructed. Two different, although equivalent methods, the Davies technique and the Krylov-Bogoliubov-Mitropolsky averaging method, are utilized.

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  • Łuczka, Jerzy, 1988. "On Markovian kinetic equations: Zubarev's nonequilibrium statistical operator approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 245-266.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:1:p:245-266
    DOI: 10.1016/0378-4371(88)90218-X
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    References listed on IDEAS

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    1. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
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