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This article is cited in 5 scientific papers (total in 5 papers)
Phase transitions
The ground state of the Frenkel–Kontorova model
A. Yu. Babushkina, À. K. Abkaryana, B. S. Dobronetsa, V. S. Krasikova, A. N. Filonovb a Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia
b Institute of Nonferrous Metals and Material Science, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
The continual approximation of the ground state of the discrete Frenkel–Kontorova model is tested using a symmetric algorithm of numerical simulation. A “kaleidoscope effect” is found, which means that the curves representing the dependences of the relative extension of an $N$-atom chain vary periodically with increasing $N$. Stairs of structural transitions for $N\gg1$ are analyzed by the channel selection method with the approximation $N=\infty$. Images of commensurable and incommensurable structures are constructed. The commensurable–incommensurable phase transitions are stepwise.
Received: 02.09.2015 Revised: 25.02.2016
Citation:
A. Yu. Babushkin, À. K. Abkaryan, B. S. Dobronets, V. S. Krasikov, A. N. Filonov, “The ground state of the Frenkel–Kontorova model”, Fizika Tverdogo Tela, 58:9 (2016), 1772–1782; Phys. Solid State, 58:9 (2016), 1834–1845
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https://www.mathnet.ru/eng/ftt9859 https://www.mathnet.ru/eng/ftt/v58/i9/p1772
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