Geodesic
The exact formula for the temperature of a one-dimensional crystal
Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 39-47.

Voir la notice de l'article provenant de la source Math-Net.Ru

An analytical representation is obtained for the temperature in a one-dimensional harmonic crystal. It is shown that for a large number of particles, the leading contribution to the temperature distribution does not depend on the particle number. 
@article{DVMG_2018_18_1_a5,
     author = {M. A. Guzev},
     title = {The exact formula for the temperature of a one-dimensional crystal},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {39--47},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a5/}
}
TY  - JOUR
AU  - M. A. Guzev
TI  - The exact formula for the temperature of a one-dimensional crystal
JO  - Dalʹnevostočnyj matematičeskij žurnal
PY  - 2018
SP  - 39
EP  - 47
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a5/
LA  - ru
ID  - DVMG_2018_18_1_a5
ER  - 
%0 Journal Article
%A M. A. Guzev
%T The exact formula for the temperature of a one-dimensional crystal
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2018
%P 39-47
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a5/
%G ru
%F DVMG_2018_18_1_a5
M. A. Guzev. The exact formula for the temperature of a one-dimensional crystal. Dalʹnevostočnyj matematičeskij žurnal, Tome 18 (2018) no. 1, pp. 39-47. http://geodesic.mathdoc.fr/item/DVMG_2018_18_1_a5/

[1] M. P. Allen, A. K. Tildesley, Computer Simulation of Liquids, Clarendon Press, Oxford, 1987 | MR

[2] A. M. Krivtsov, “Kolebaniya energii v odnomernom kristalle”, Doklady Akademii nauk, 458:3 (2014), 279–281 | DOI | MR

[3] M. A. Guzev, A. A. Dmitriev, “Ostsillyatsionno-zatukhayuschee povedenie temperatury v kristalle”, Dalnevost. matem. zhurn., 17:2 (2017), 170–179 | MR

[4] Dzh. V. Gibbs, Termodinamika. Statisticheskaya mekhanika, Nauka, Moskva, 1982

[5] G. N. Vatson, Teoriya beselevykh funktsii. Chast pervaya, Izdatelstvo inostrannoi literatury, Moskva, 1949

[6] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady. Elementarnye funktsii, v 3 t., v. 1, Fizmatlit, Moskva, 2002 | MR

[7] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady. Spetsialnye funktsii, v 3 t., v. 2, Fizmatlit, Moskva, 2003 | MR

[8] M. V. Fedoryuk, Asimptotika: integraly i ryady (SMB), Nauka GRFML, Moskva, 1987 | MR