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 TMF, 1971, Volume 9, Number 3, Pages 406–417 (Mi tmf4512)

Green's functions and admittances of nonequilibrium systems in a quasilinear approximation

V. P. Kalashnikov

Abstract: On the basis of the non-linear response theory developed in [1], the Green functions and the kinetic coefficients of quasilinear approximation are considered. In this approximation the response of a system is calculated in the linear approximation with respect to the external force entering explicitly, but it depends functionally on the exact solutions of the integro-differential macroscopical balance equations, which tekes into account external forces as well as possible proper irreversible processes in non-equilibrium system. In the approximation used some general properties of non-equilibrium Green functions are considered as well as various forms of the perturbation theory with respect to internal interaction between subsystems.

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English version:
Theoretical and Mathematical Physics, 1971, 9:3, 1230–1238

Citation: V. P. Kalashnikov, “Green's functions and admittances of nonequilibrium systems in a quasilinear approximation”, TMF, 9:3 (1971), 406–417; Theoret. and Math. Phys., 9:3 (1971), 1230–1238

Citation in format AMSBIB
\Bibitem{Kal71} \by V.~P.~Kalashnikov \paper Green's functions and admittances of nonequilibrium systems in a~quasilinear approximation \jour TMF \yr 1971 \vol 9 \issue 3 \pages 406--417 \mathnet{http://mi.mathnet.ru/tmf4512} \transl \jour Theoret. and Math. Phys. \yr 1971 \vol 9 \issue 3 \pages 1230--1238 \crossref{https://doi.org/10.1007/BF01043414} 

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This publication is cited in the following articles:
1. D. N. Zubarev, M. Yu. Novikov, “Generalized formulation of the boundary condition for the Liouville equation and for the BBGKY hierarchy”, Theoret. and Math. Phys., 13:3 (1972), 1229–1238
2. V. P. Kalashnikov, “Response of a nonequilibrium system to a thermal perturbation”, Theoret. and Math. Phys., 11:1 (1972), 386–392
3. V. P. Kalashnikov, N. V. Kozhevnikov, “Dynamical behavior of two-component spin systems in an alternating magnetic field”, Theoret. and Math. Phys., 37:3 (1978), 1101–1110
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