Abstract:
General scheme of the reduction of the description of open systems (with timedependent
dynamical operator) is presented, which is based on the “markovised” representation
of the fundamental solution and on the natural conditions of the damping
of the microinformation. The simple and complete proofs of the main results of the
Brussels school approach are given. The connection with the non-equilibrium statistical
operator method by D. N. Zubarev is discussed.
Citation:
V. P. Vstovskii, “Macroscopic description of open dynamical systems”, TMF, 31:3 (1977), 405–416; Theoret. and Math. Phys., 31:3 (1977), 540–548
\Bibitem{Vst77}
\by V.~P.~Vstovskii
\paper Macroscopic description of open dynamical systems
\jour TMF
\yr 1977
\vol 31
\issue 3
\pages 405--416
\mathnet{http://mi.mathnet.ru/tmf3039}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 3
\pages 540--548
\crossref{https://doi.org/10.1007/BF01030573}
Linking options:
https://www.mathnet.ru/eng/tmf3039
https://www.mathnet.ru/eng/tmf/v31/i3/p405
This publication is cited in the following 2 articles:
V Skarka, P V Coveney, “On the extension of the general theorem in the dynamics of correlations to the statistical mechanics of large systems evolving in time dependent external fields”, J. Phys. A: Math. Gen., 21:11 (1988), 2595
E. Piotrowski, “Perturbation calculation for quasi-equilibrium statistical operator”, Physics Letters A, 80:5-6 (1980), 354
Citation in format AMSBIB
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