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 Dal'nevost. Mat. Zh., 2021, Volume 21, Number 1, Pages 39–44 (Mi dvmg444)

Heat flux in the Langevin model for two particles

M. A. Guzev, A. A. Dmitriev

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The analytical representation for the heat flux is obtained on the basis of the constructed solution in a one-dimensional harmonic model for two particles. At $t\rightarrow\infty$, the amplitude asymptotic behavior of the flow passing through the particle is shown to be determined by the temperature difference between the left and right heat reservoirs, between which the system is located. The dynamic behavior of the thermal characteristic is oscillating in time; its oscillation period is set by the parameter of the system.

Key words: the Langevin model, heat flux, particle system.

DOI: https://doi.org/10.47910/FEMJ202103

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UDC: 517.927.2, 531
MSC: Primary 34A25; Secondary 34A30, 70B99

Citation: M. A. Guzev, A. A. Dmitriev, “Heat flux in the Langevin model for two particles”, Dal'nevost. Mat. Zh., 21:1 (2021), 39–44

Citation in format AMSBIB
\Bibitem{GuzDmi21} \by M.~A.~Guzev, A.~A.~Dmitriev \paper Heat flux in the Langevin model for two particles \jour Dal'nevost. Mat. Zh. \yr 2021 \vol 21 \issue 1 \pages 39--44 \mathnet{http://mi.mathnet.ru/dvmg444} \crossref{https://doi.org/10.47910/FEMJ202103}