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

Jerzy Łuczka

Physica A: Statistical Mechanics and its Applications, 1988, vol. 149, issue 1, 245-266

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.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:149:y:1988:i:1:p:245-266

DOI: 10.1016/0378-4371(88)90218-X

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