Abstract:
The description of an adiabatic process by means of the quasiequilibrium canonical density matrix is discussed for the case of an isolated magnetic spin system. It is shown that the compatibility condition for the various equations for the reciprocal temperature implies constancy of the heat capacity of the system in the adiabatic process. Allowance for the compatibility condition also enables one to find the explicit form of the nonlinear adiabatic response of the system without recourse to the high-temperature approximation. The expressions obtained can be verified experimentally.
Citation:
A. A. Samokhin, “On the adiabatic approximation in statistical mechanics”, TMF, 5:3 (1970), 439–445; Theoret. and Math. Phys., 5:3 (1970), 1265–1269
\Bibitem{Sam70}
\by A.~A.~Samokhin
\paper On the adiabatic approximation in statistical mechanics
\jour TMF
\yr 1970
\vol 5
\issue 3
\pages 439--445
\mathnet{http://mi.mathnet.ru/tmf4220}
\transl
\jour Theoret. and Math. Phys.
\yr 1970
\vol 5
\issue 3
\pages 1265--1269
\crossref{https://doi.org/10.1007/BF01035257}
Linking options:
https://www.mathnet.ru/eng/tmf4220
https://www.mathnet.ru/eng/tmf/v5/i3/p439
This publication is cited in the following 2 articles:
A. A. Samokhin, A. V. Zyl, N. L. Zamarashkin, “On the factorization method for the quantum statistical description of dynamics of an isolated spin system”, Theoret. and Math. Phys., 218:3 (2024), 452–463
A.A. Samokhin, “Theory of nonlinear response of an isolated spin system. II”, Physica, 58:1 (1972), 26
Citation in format AMSBIB
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