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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 1, Pages 39–43 (Mi dvmg320)  
This article is cited in 2 scientific papers (total in 2 papers)

Mechanical characteristics of molecular dynamics model and Korobov polynomials

M. A. Guzeva, A. V. Ustinovbc

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
c Pacific National University, Khabarovsk
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Abstract: We use the number theory methods for explicit calculation of a static stress field in the system of a 1D chain harmonic oscillators. The sums defining stress field are presented in terms of Korobov polynomials for arbitrary number of oscillators and arbitrary averaging scale.
Key words: molecular dynamics, Fourier series, Korobov polynomials.
Funding agency Grant number
Программа "Дальний Восток" 15-I-4-041
Russian Foundation for Basic Research 14-01-00203
Received: 18.04.2016
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.12, 511.217
MSC: Primary 74A25; Secondary 11B83
Language: Russian
Citation: M. A. Guzev, A. V. Ustinov, “Mechanical characteristics of molecular dynamics model and Korobov polynomials”, Dal'nevost. Mat. Zh., 16:1 (2016), 39–43
Citation in format AMSBIB
\Bibitem{GuzUst16}
\by M.~A.~Guzev, A.~V.~Ustinov
\paper Mechanical characteristics of molecular dynamics model and Korobov polynomials
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 1
\pages 39--43
\mathnet{http://mi.mathnet.ru/dvmg320}
\elib{https://elibrary.ru/item.asp?id=26151057}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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