The ground state of the Frenkel-Kontorova model

被引：3

作者：

Babushkin, A. Yu. ^{[1
]}

Abkaryan, A. K. ^{[1
]}

Dobronets, B. S. ^{[1
]}

Krasikov, V. S. ^{[1
]}

Filonov, A. N. ^{[2
]}

机构：

[1] Siberian Fed Univ, Inst Space & Informat Technol, Ul Kirenskogo 26, Krasnoyarsk 660074, Russia

[2] Siberian Fed Univ, Inst Nonferrous Met & Mat Sci, Pr Im Gazety Krasnoyarskii Rabochii 95, Krasnoyarsk 660025, Russia

来源：

PHYSICS OF THE SOLID STATE | 2016年 / 58卷 / 09期

关键词：

CHAIN;

D O I：

10.1134/S1063783416090080

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

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 ae << 1 are analyzed by the channel selection method with the approximation N = a. Images of commensurable and incommensurable structures are constructed. The commensurable-incommensurable phase transitions are stepwise.

引用

页码：1834 / 1845

页数：12

共 12 条

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Abkaryan, A. K. ;

Babushkin, A. Yu ;

Dobronets, B. S. ;

Krasikov, V. S. ;

Filonov, A. N. .

PHYSICS OF THE SOLID STATE, 2016, 58 (02) :346-350

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