Discrete breathers in square lattices from delocalized nonlinear vibrational modes
E. K. Naumov, Yu. V. Bebikhov, Е. Г. Екомасов, É. G. Soboleva, Sergey V. Dmitriev
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.
Topics & Concepts
BreatherDelocalized electronSquare latticeSquare (algebra)PhysicsCondensed matter physicsNonlinear systemPhononLattice (music)Molecular vibrationQuantum mechanicsStatistical physicsMathematicsRaman spectroscopyGeometryIsing modelAcousticsNonlinear Photonic SystemsAdvanced Fiber Laser TechnologiesNonlinear Waves and Solitons