A model of the liquid–crystal phase transition and the quasicrystal model of liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 155-171 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We compare properties of the crystal structure and of the quasicrystal model of liquid. We show that if the Lennard-Jones potential is used to model the properties of argon, then the temperature of the phase transition between the densely packed face-centered and the body-centered cubic structure is very close to the liquid–crystal transition temperature. Based on this, we propose a model of the phase transition consisting in a change of just the short-range order, which then leads to a change of the long-range order.
Keywords: radial function, quasicrystal model, lattice gas, short-range order, long-range order
Mots-clés : phase transition.
@article{TMF_2007_151_1_a10,
     author = {\'E. A. Arinstein},
     title = {A~model of the~liquid{\textendash}crystal phase transition and the~quasicrystal model of liquid},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {155--171},
     year = {2007},
     volume = {151},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a10/}
}
TY  - JOUR
AU  - É. A. Arinstein
TI  - A model of the liquid–crystal phase transition and the quasicrystal model of liquid
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2007
SP  - 155
EP  - 171
VL  - 151
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a10/
LA  - ru
ID  - TMF_2007_151_1_a10
ER  - 
%0 Journal Article
%A É. A. Arinstein
%T A model of the liquid–crystal phase transition and the quasicrystal model of liquid
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2007
%P 155-171
%V 151
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a10/
%G ru
%F TMF_2007_151_1_a10
É. A. Arinstein. A model of the liquid–crystal phase transition and the quasicrystal model of liquid. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 1, pp. 155-171. http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a10/

[1] Ya. I. Frenkel, Kineticheskaya teoriya zhidkosti, Nauka, L., 1975 | MR | Zbl

[2] E. A. Arinshtein, R. M. Ganopolskii, Izv. vuzov. Fizika, 2004, no. 4, 34–38

[3] E. A. Arinshtein, E. S. Brikov, I. A. Gusev, Vestn. Tyumen. GU, 2000, no. 3, 35–39

[4] J.-P. Hansen, L. Verlet, Phys. Rev., 184 (1969), 151 | DOI

[5] G. N. Sarkisov, UFN, 172:6 (2002), 647–669 | DOI

[6] E. A. Arinshtein, TMF, 141:1 (2004), 152–160 | DOI | MR | Zbl

[7] E. A. Arinshtein, A. A. Khairullin, Vestn. Tyumen. GU, 1998, no. 2, 72–77; 2000, No 3, 29–35 | MR

[8] R. Rid, Dzh. Prausnits, T. Shervud, Svoistva gazov i zhidkostei, Khimiya, L., 1982

[9] N. N. Medvedev, Yu. I. Naberukhin, “Opisanie strukturnogo faktora zhidkogo argona v kvazikristallicheskoi modeli zhidkosti”, Fizika zhidkogo sostoyaniya, vyp. 7, Vischa shkola, Kiev, 1979, 14–21