Discrete breathers in square lattices from delocalized nonlinear vibrational modes

E K Naumov; Yu V Bebikhov; E G Ekomasov; E G Soboleva; S V Dmitriev

doi:10.1103/PhysRevE.107.034214

Discrete breathers in square lattices from delocalized nonlinear vibrational modes

Phys Rev E. 2023 Mar;107(3-1):034214. doi: 10.1103/PhysRevE.107.034214.

Authors

E K Naumov^{1

2}, Yu V Bebikhov³, E G Ekomasov⁴, E G Soboleva⁵, S V Dmitriev^{1

2

6}

Affiliations

¹ Institute of Molecule and Crystal Physics, UFRC of Russian Academy of Sciences, Ufa 450075, Russia.
² Institute for Metals Superplasticity Problems of Russian Academy of Sciences, Khalturin Street 39, Ufa 450001, Russia.
³ Polytechnic Institute (Branch) in Mirny, North-Eastern Federal University, Tikhonova Street 5/1, 678170 Mirny, Sakha Republic (Yakutia), Russia.
⁴ Ufa University of Science and Technology, Zaki Validi 32, Ufa 450076, Russia.
⁵ National Research Tomsk Polytechnic University, Tomsk 634050, Russia.
⁶ Institute of Mathematics with Computing Centre, UFRC of Russian Academy of Sciences, Ufa 450000, Russia.

PMID: 37072991
DOI: 10.1103/PhysRevE.107.034214

Abstract

Standing and moving discrete breathers (or equally, intrinsic localized modes) in a square β-Fermi-Pasta-Ulam-Tsingou lattice are obtained by applying localizing functions to the delocalized nonlinear vibrational modes (DNVMs) found earlier by Ryabov and Chechin. The initial conditions used in our study do not correspond to exact spatially localized solutions, but make it possible to obtain long-lived quasibreathers. The approach employed in this work can easily be used to search for quasibreathers in three-dimensional crystal lattices, for which DNVMs with frequencies outside the phonon spectrum are known.