This article is cited in 2 papers

Mechanical characteristics of molecular dynamics model and Korobov polynomials

M. A. Guzev^a, A. V. Ustinov<sup>bc

a</sup> 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

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.

UDC: 517.958:531.12, 511.217

MSC: Primary 74A25; Secondary 11B83

Received: 18.04.2016

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