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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 1, Pages 155–171
DOI: https://doi.org/10.4213/tmf6018 (Mi tmf6018) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A model of the liquid–crystal phase transition and the quasicrystal model of liquid

É. A. Arinstein

Tyumen State University
Full-text PDF (377 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6018
Abstract: 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, phase transition.
Received: 01.09.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 1, Pages 571–585
DOI: https://doi.org/10.1007/s11232-007-0043-y
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “A model of the liquid–crystal phase transition and the quasicrystal model of liquid”, TMF, 151:1 (2007), 155–171; Theoret. and Math. Phys., 151:1 (2007), 571–585
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6018
  • https://www.mathnet.ru/eng/tmf/v151/i1/p155
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :330
    References:55
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