Abstract:
A generalized scheme of a theory of linear relaxation in a macroscopic nonequilibrium system is investigated in the case when the set of macrovariables SpPρ(t) is enlarged by the average values of the first, second . . ., and α-th time derivatives of the operators P It is shown that for all values of α the same dispersion equation holds for the spectrum of normal modes of the system and also the same infinite system of linear equations. This system contains a finite number of equations of motion of the macrovariables and a hierarchy of equations for the two-time correlation functions which arise in the calculation of the memory function or Green's function.
Citation:
V. P. Kalashnikov, “Equations of motion, Green's functions, and thermodynamic relations in theories of linear relaxation with various sets of macroscopic variables”, TMF, 35:1 (1978), 127–138; Theoret. and Math. Phys., 35:1 (1978), 362–370
\Bibitem{Kal78}
\by V.~P.~Kalashnikov
\paper Equations of motion, Green's functions, and thermodynamic relations in theories of linear relaxation with various sets of macroscopic variables
\jour TMF
\yr 1978
\vol 35
\issue 1
\pages 127--138
\mathnet{http://mi.mathnet.ru/tmf2775}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 35
\issue 1
\pages 362--370
\crossref{https://doi.org/10.1007/BF01032435}
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https://www.mathnet.ru/eng/tmf2775
https://www.mathnet.ru/eng/tmf/v35/i1/p127
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