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Response of a thermodynamic system to a slowly varying mechanical perturbation
I. P. Borodin, T. N. Khazanovich
Abstract:
A study is made of the change of the statistical mean values of a system in a slowly varying
external field. Under the assumption of a large specific heat, an expansion is obtained in
powers of the rate of change of the field to terms of second order. The linear term of the
expansion differs from the corresponding expression of linear response theory only by the
fact that it contains the adiabatic time correlation function, in which the evolution is determined
by the instantaneous Hamiltonian without allowance for its time dependence and the
averaging is made with the instantaneously equilibrium statistical operator. As an illustration, a study is made of the change of the mean position of a one-dimensional anharmonie
Brownian oscillator after the force that acts on it has ceased (creep).
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Theoretical and Mathematical Physics, 1974, 21:1, 1023–1027
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Received: 01.11.1973
Citation:
I. P. Borodin, T. N. Khazanovich, “Response of a thermodynamic system to a slowly varying mechanical perturbation”, TMF, 21:1 (1974), 130–136; Theoret. and Math. Phys., 21:1 (1974), 1023–1027
Citation in format AMSBIB
\Bibitem{BorKha74}
\by I.~P.~Borodin, T.~N.~Khazanovich
\paper Response of a~thermodynamic system to a~slowly varying mechanical perturbation
\jour TMF
\yr 1974
\vol 21
\issue 1
\pages 130--136
\mathnet{http://mi.mathnet.ru/tmf3863}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=464933}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 21
\issue 1
\pages 1023--1027
\crossref{https://doi.org/10.1007/BF01035600}
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http://mi.mathnet.ru/eng/tmf3863 http://mi.mathnet.ru/eng/tmf/v21/i1/p130
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