Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 39-43
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M. A. Guzev; A. V. Ustinov. Mechanical characteristics of molecular dynamics model and Korobov polynomials. Dalʹnevostočnyj matematičeskij žurnal, Tome 16 (2016) no. 1, pp. 39-43. http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/
@article{DVMG_2016_16_1_a3,
author = {M. A. Guzev and A. V. Ustinov},
title = {Mechanical characteristics of molecular dynamics model and {Korobov} polynomials},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {39--43},
year = {2016},
volume = {16},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/}
}
TY - JOUR
AU - M. A. Guzev
AU - A. V. Ustinov
TI - Mechanical characteristics of molecular dynamics model and Korobov polynomials
JO - Dalʹnevostočnyj matematičeskij žurnal
PY - 2016
SP - 39
EP - 43
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/
LA - ru
ID - DVMG_2016_16_1_a3
ER -
%0 Journal Article
%A M. A. Guzev
%A A. V. Ustinov
%T Mechanical characteristics of molecular dynamics model and Korobov polynomials
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2016
%P 39-43
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/DVMG_2016_16_1_a3/
%G ru
%F DVMG_2016_16_1_a3
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.
[1] M. A. Guzev, Yu. G. Izrailskii, M. A. Shepelov, “Molekulyarno-dinamicheskie kharakteristiki odnomernoi tochno reshaemoi modeli na razlichnykh masshtabakh”, Fizicheskaya mekhanika, 9:5 (2006), 53–57
[2] N. M. Korobov, “Spetsialnye polinomy i ikh prilozheniya”, Diofantovy priblizheniya. Matem. zapiski, 2 (1996), 77–89 | MR
[3] A. V. Ustinov, “O formulakh summirovaniya i interpolyatsii”, Chebyshevskii sbornik, 1 (2001), 52–71 | MR | Zbl
[4] N. M. Korobov, “O nekotorykh svoistvakh spetsialnykh polinomov”, Chebyshevskii sbornik, 1 (2001), 40–49 | MR | Zbl
[5] A. V. Ustinov, “Ob odnom obobschenii chisel Stirlinga”, Chebyshevskii sbornik, 3:2(4) (2002), 107–122 | MR | Zbl
[6] A. V. Ustinov, “Polinomy Korobova i tenevoi analiz”, Chebyshevskii sbornik, 4:4(8) (2003), 137–152 | MR | Zbl