Delocalized nonlinear vibrational modes of triangular lattices
E.A. Korznikova, Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Ufa, Russia; I.A. Shepelev, Saratov State University, Russia; D.S. Ryabov, Southern Federal University, Institute of Physics, Rostov-on-Don, Russia; S.V. Dmitriev, Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Ufa, Russia
Abstract
One- and two-component delocalized nonlinear vibrational modes (DNVMs) in triangular lattice are analyzed. DNVMs are obtained considering solely upon the symmetry of the triangular lattice, and thus they exist regardless the type of interactions between particles. In this work, the nearest-neighbor inter-particle interactions are described by the $\beta$-FPU potential. The one-component DNVMs are periodic in time, while the two-component ones are superposition of the two vibrational modes with, generally speaking, incommensurate frequencies. For many (but not for all) two-component DNVMs time-periodic solutions can be obtained by a proper choice of the amplitudes of the two constitutive modes. For each DNVM frequency and energy per particle are reported as the functions of vibration amplitude together with other characteristics.
Speaker
Korznikova Elena A.
Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of Russian Academy of Sciences, Oktyabrya Ave. 151, Ufa 450075, Russia
Russia
Discussion
Ask question
