Influence of the relative stiffness of second-neighbor interactions on chaotic discrete breathers in a square lattice; Chaos, Solitons and Fractals; Vol. 183

Influence of the relative stiffness of second-neighbor interactions on chaotic discrete breathers in a square lattice; Chaos, Solitons and Fractals; Vol. 183

Bibliografiska uppgifter
Parent link:Chaos, Solitons and Fractals.— .— Amsterdam: Elsevier Science Publishing Company Inc.
Vol. 183.— 2024.— Article number 114885, 9 p.
Institutionell upphovsman: Томский политехнический университет
Övriga upphovsmän: Shepelev I. A. Igor Aleksandrovich, Soboleva E. G. Elvira Gomerovna, Kudreyko A. A. Aleksey Alfredovich, Dmitriev S. V. Sergey Vladimirovich
Sammanfattning:Title screen
It is known that the modulational instability of a delocalized nonlinear vibrational mode (DNVM) with frequency outside the phonon band can lead to spontaneous energy localization in a nonlinear lattice on chaotic discrete breathers (CDBs). Considering a 𝛽-FPUT square lattice with nearest and next-nearest interactions, the appearance of CDBs is analyzed for different stiffnesses of the first- and second-nearest interactions, 𝑘1 and 𝑘2, keeping the density of the lattice unchanged. There are two DNVMs in the square lattice with frequencies above the phonon spectrum and both are studied. The appearance of CDBs in the lattice is monitored by calculating the time evolution of the energy localization parameter 𝐿 and the maximum energy of the particles 𝑒max. For solid state physics and materials science, the important range of stiffness parameters is 𝑘2<𝑘1, since the stiffness of chemical bonds typically decreases with the distance between atoms. It is found that CDBs form in the square lattice when 𝑘2>𝑘1/4. This means that they can form in crystals if the stiffness of the second-neighbor bonds is smaller than that of the first-neighbor bonds, but not too small. Depending on the relation between the anharmonicity parameters of the first- and second-neighbor bonds CDBs can have different polarization
Текстовый файл
AM_Agreement
Språk:engelska
Publicerad: 2024
Ämnen:
электронный ресурс
труды учёных ТПУ
square lattice
nonlinear dynamics
delocalized nonlinear vibrational mode
chaotic discrete breather
Länkar:https://doi.org/10.1016/j.chaos.2024.114885
Materialtyp: Elektronisk Bokavsnitt
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672405

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