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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 512, Pages 27–32
DOI: https://doi.org/10.31857/S2686954322600495
(Mi danma394)
 

MATHEMATICS

Stochastic modeling the transport coefficients of liquids

V. Ya. Rudyakab, E. V. Lezhnevab

a Novosibirsk State University of Architecture and Civil Engineering, Novosibirsk, Russian Federation
b S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences, Novosibirsk, Russian Federation
References:
Abstract: A method of stochastic molecular modeling (SMM) of liquid transport coefficients has been developed. They are calculated using fluctuation-dissipation theorems, but unlike the molecular dynamics (MD) method, the phase trajectories of the system are simulated stochastically. The force acting on the molecule is determined stochastically using the created database of intermolecular forces. The effectiveness of the method is demonstrated by the example of calculating transport coefficients. It is shown that the SMM method requires much less computational resources than the MD method.
Keywords: liquid, transport coefficients, molecular modeling, stochastic modeling.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2021-5
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2021-5).
Presented: V. M. Fomin
Received: 10.03.2023
Revised: 24.03.2023
Accepted: 27.07.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 1, Pages 264–268
DOI: https://doi.org/10.1134/S106456242370093X
Bibliographic databases:
Document Type: Article
UDC: 51-74; 538.93
Language: Russian
Citation: V. Ya. Rudyak, E. V. Lezhnev, “Stochastic modeling the transport coefficients of liquids”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 27–32; Dokl. Math., 108:1 (2023), 264–268
Citation in format AMSBIB
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\by V.~Ya.~Rudyak, E.~V.~Lezhnev
\paper Stochastic modeling the transport coefficients of liquids
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 512
\pages 27--32
\mathnet{http://mi.mathnet.ru/danma394}
\crossref{https://doi.org/10.31857/S2686954322600495}
\elib{https://elibrary.ru/item.asp?id=54538816}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 1
\pages 264--268
\crossref{https://doi.org/10.1134/S106456242370093X}
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