Delocalized nonlinear vibrational modes and discrete breathers in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>-FPUT simple cubic lattice
S. A. Shcherbinin, Arseny M. Kazakov, Yu. V. Bebikhov, Aleksey Kudreyko, Sergey V. Dmitriev
Abstract
The problem of finding various discrete breathers (DBs) in the β-Fermi-Pasta-Ulam-Tsingou simple cubic lattice is addressed. DBs are obtained by imposing localizing functions on delocalized nonlinear vibrational modes (DNVMs) having frequencies above the phonon spectrum of the lattice. Among 27 DNVMs with the wave vector at the boundary of the first Brillouin zone there are three satisfying this condition. Seven robust DBs of different symmetries are found using this approach.
Topics & Concepts
Delocalized electronLattice (music)Brillouin zoneBreatherHomogeneous spaceCubic crystal systemSimple (philosophy)MathematicsPhysicsMathematical analysisNonlinear systemCondensed matter physicsQuantum mechanicsGeometryPhilosophyEpistemologyAcousticsNonlinear Photonic SystemsAdvanced Fiber Laser TechnologiesNonlinear Waves and Solitons