Stability of in-plane delocalized vibrational modes in triangular Morse lattice

被引：3

作者：

Abdullina, D. U. ^{[1
,2
]}

Semenova, M. N. ^{[3
]}

Semenov, A. S. ^{[3
]}

Ryabov, D. S. ^{[4
]}

Chechin, G. M. ^{[4
]}

Korznikova, E. A. ^{[1
]}

Baimova, J. A. ^{[1
,2
]}

Dmitriev, S. V. ^{[1
,5
]}

机构：

[1] Inst Met Superplast Problems, 39 Khalturin St, Ufa 450001, Russia

[2] Bashkir State Univ, 32 Validy St, Ufa 450076, Russia

[3] North Eastern Fed Univ, Polytech Inst Branch Mirny, 5-1 Tikhonova St, Sakha 678170, Yakutia, Russia

[4] Southern Fed Univ, 105 Bolshaya Sadovaya St, Rostov Na Donu, Russia

[5] Natl Res Tomsk State Univ, 36 Lenin Ave, Tomsk 634050, Russia

来源：

OPEN SCHOOL-CONFERENCE OF NIS COUNTRIES ULTRAFINE GRAINED AND NANOSTRUCTURED MATERIALS | 2018年 / 447卷

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

GAP DISCRETE BREATHERS;

D O I：

10.1088/1757-899X/447/1/012060

中图分类号：

TF [冶金工业];

学科分类号：

0806 ;

摘要：

Delocalized nonlinear vibrational modes (DNVMs) play a very important role in the study of the dynamics of a nonlinear lattice in solid state physics. Such modes are exact solutions to the equations of motion of atoms dictated by the lattice space symmetry. If the amplitude of DNVM is above the threshold value, it is modulationally unstable. In the present study, we consider the stability of DNVMs in a two-dimensional (2D) triangular lattice with atoms interacting via the Morse potential. Critical exponents are calculated numerically as functions of the DNVM amplitude. Extrapolation to the zero value of the critical exponent gives an estimation of the DNVM amplitude, below which it is stable.

引用

页数：4

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