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Matem. Mod., 2021, Volume 33, Number 1, Pages 53–62 (Mi mm4253)  

An algorithm for calculating the movements of diatomic gases molecules

S. V. Polyakova, V. O. Podrygaab

a Keldysh Institute of Applied Mathematics of RAS
b Moscow Automobile and Road Construction State Technical University

Abstract: The problem of modeling the properties of diatomic gases by molecular dynamics methods is considered. Such studies are traditional for the physics of matter. Currently, there is an increased interest in this problem in connection with the development of nanotechnologies and their implementation in various industrial branches. In the proposed work, the question of clarifying the original classical model of Newton's dynamics is considered. In particular, a technique is discussed for taking into account additional degrees of freedom that characterize the rotational motions of diatomic molecules. This is due to the need to correctly calculate the heat capacity. To solve this problem, it was proposed to add equations for the angular momentum and rotational velocities of molecules to the molecular dynamics model. For such an extended formulation, a special numerical algorithm has been developed that generalizes the Verlet scheme. A computational program has been developed on the basis of the proposed algorithm. It was used to calculate the heat capacity curve for nitrogen in the temperature range 100-400 K at a pressure of 1 atm. The calculated data obtained agree with the known data from reference books.

Keywords: properties of technical gases, molecular dynamics, translational and rotational degrees of freedom, numerical algorithm for calculation.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-37-20062_мол_а_вед
20-07-00790_а


DOI: https://doi.org/10.20948/mm-2021-01-04

Full text: PDF file (324 kB)
First page: PDF file
References: PDF file   HTML file

Received: 26.10.2020
Revised: 26.10.2020
Accepted:30.11.2020

Citation: S. V. Polyakov, V. O. Podryga, “An algorithm for calculating the movements of diatomic gases molecules”, Matem. Mod., 33:1 (2021), 53–62

Citation in format AMSBIB
\Bibitem{PolPod21}
\by S.~V.~Polyakov, V.~O.~Podryga
\paper An algorithm for calculating the movements of diatomic gases molecules
\jour Matem. Mod.
\yr 2021
\vol 33
\issue 1
\pages 53--62
\mathnet{http://mi.mathnet.ru/mm4253}
\crossref{https://doi.org/10.20948/mm-2021-01-04}


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