Geodesic
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

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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. 
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     author = {\'E. A. Arinstein},
     title = {A~model of the~liquid--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},
     publisher = {mathdoc},
     volume = {151},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_1_a10/}
}
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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/