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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2007 Volume 151, Number 1, Pages 155–171 (Mi tmf6018)

This article is cited in 6 papers

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

É. A. Arinstein

Tyumen State University

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

DOI: 10.4213/tmf6018


 English version:
Theoretical and Mathematical Physics, 2007, 151:1, 571–585

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© Steklov Math. Inst. of RAS, 2026