Discrete breathers in a triangular β-Fermi-Pasta-Ulam-Tsingou lattice

被引：23

作者：

Babicheva, Rita, I ^{[1
]}

Semenov, Alexander S. ^{[2
]}

Soboleva, Elvira G. ^{[3
]}

Kudreyko, Aleksey A. ^{[4
]}

Zhou, Kun ^{[5
]}

Dmitriev, Sergey, V ^{[6
,7
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Aerosp Engn, 50 Nanyang Ave, Singapore 639798, Singapore

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

[3] Natl Res Tomsk Polytech Univ, Yurga Inst Technol Branch, Yurga 652050, Russia

[4] Bashkir State Med Univ, Dept Med Phys & Informat, Lenin St 3, Ufa 450008, Russia

[5] Nanyang Technol Univ, Environm Proc Modelling Ctr, Nanyang Environm & Water Res Inst, 1 Cleantech Loop, Singapore 637141, Singapore

[6] RAS, Inst Met Superplast Problems, Khalturin St 39, Ufa 450000, Russia

[7] RAS, Ufa Fed Res Ctr, Inst Mol & Crystal Phys, Ufa 450075, Russia

来源：

PHYSICAL REVIEW E | 2021年 / 103卷 / 05期

关键词：

INTRINSIC LOCALIZED MODES; 2-DIMENSIONAL MORSE LATTICE; VIBRATIONAL-MODES; MOVING BREATHERS; ATOMIC VIBRATIONS; STABILITY; DYNAMICS; SYMMETRY; BUSHES; MANIPULATION;

D O I：

10.1103/PhysRevE.103.052202

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A practical approach to the search for (quasi-) discrete breathers (DBs) in a triangular beta-FPUT lattice (after Fermi, Pasta, Ulam, and Tsingou) is proposed. DBs are obtained by superimposing localizing functions on delocalized nonlinear vibrational modes (DNVMs) having frequencies above the phonon spectrum of the lattice. Zero-dimensional and one-dimensional DBs are obtained. The former ones are localized in both spatial dimensions, and the latter ones are only in one dimension. Among the one-dimensional DBs, two families are considered: the first is based on the DNVMs of a triangular lattice, and the second is based on the DNVMs of a chain. We speculate that our systematic approach on the triangular beta-FPUT lattice reveals all possible types of spatially localized oscillations with frequencies bifurcating from the upper edge of the phonon band as all DNVMs with frequencies above the phonon band are analyzed.

引用

页数：14

共 115 条

[31] Discrete breathers in crystals [J].

Dmitriev, S. V. ;

Korznikova, E. A. ;

Baimova, Yu A. ;

Velarde, M. G. .

PHYSICS-USPEKHI, 2016, 59 (05) :446-461

[32]

Doi Yusuke, 2012, Journal of Solid Mechanics and Materials Engineering, V6, P71, DOI 10.1299/jmmp.6.71

[33] Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather [J].

Doi, Yusuke ;

Yoshimura, Kazuyuki .

NONLINEARITY, 2020, 33 (10) :5142-5175

[34] Symmetric Potential Lattice and Smooth Propagation of Tail-Free Discrete Breathers [J].

Doi, Yusuke ;

Yoshimura, Kazuyuki .

PHYSICAL REVIEW LETTERS, 2016, 117 (01)

[35]

Dolgov A. S., 1986, Soviet Physics - Solid State, V28, P907

[36] Assessment of discrete breathers in the metallic hydrides [J].

Dubinko, Vladimir ;

Laptev, Denis ;

Terentyev, Dmitry ;

Dmitriev, Sergey, V ;

Irwin, Klee .

COMPUTATIONAL MATERIALS SCIENCE, 2019, 158 :389-397

[37] Energy transfer in strained graphene assisted by discrete breathers excited by external ac driving [J].

Evazzade, Iman ;

Lobzenko, Ivan P. ;

Korznikova, Elena A. ;

Ovid'ko, Ilya A. ;

Roknabadi, Mahmood Rezaee ;

Dmitriev, Sergey V. .

PHYSICAL REVIEW B, 2017, 95 (03)

[38] Discrete breathers [J].

Flach, S ;

Willis, CR .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 295 (05) :181-264

[39] Discrete breathers - Advances in theory and applications [J].

Flach, Sergej ;

Gorbach, Andrey V. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 467 (1-3) :1-116

[40] Forward and backward propagating breathers in a DNA model with dipole-dipole long-range interactions [J].

Gninzanlong, Carlos Lawrence ;

Ndjomatchoua, Frank Thomas ;

Tchawoua, Clement .

PHYSICAL REVIEW E, 2020, 102 (05)

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