The ground state of the Frenkel–Kontorova model


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Аннотация

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 ≫ 1 are analyzed by the channel selection method with the approximation N = ∞. Images of commensurable and incommensurable structures are constructed. The commensurable–incommensurable phase transitions are stepwise.

Авторлар туралы

A. Babushkin

Institute of Space and Informatic Technologies

Хат алмасуға жауапты Автор.
Email: abab@front.ru
Ресей, ul. Kirenskogo 26, Krasnoyarsk, 660074

A. Abkaryan

Institute of Space and Informatic Technologies

Email: abab@front.ru
Ресей, ul. Kirenskogo 26, Krasnoyarsk, 660074

B. Dobronets

Institute of Space and Informatic Technologies

Email: abab@front.ru
Ресей, ul. Kirenskogo 26, Krasnoyarsk, 660074

V. Krasikov

Institute of Space and Informatic Technologies

Email: abab@front.ru
Ресей, ul. Kirenskogo 26, Krasnoyarsk, 660074

A. Filonov

Institute of Nonferrous Metals and Material Science

Email: abab@front.ru
Ресей, pr. im. Gazety Krasnoyarskii Rabochii 95, Krasnoyarsk, 660025

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