ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


energy localization

Mode localization in Fermi-Pasta-Ulam chains with arbitrary degree of nonlinearity

q-Breathers are exact periodic solutions of nonlinear acoustic chain systems, exponentially localized in the space of normal modes. Their presence determines the energy localization in initially excited modes, the absence of thermalization and persistence of quasi-linear spectrum. In the present paper we study the influence of the order of nonlinearity γ on the localization length in the q-space, delocalization threshold and scaling of these properties with the system size.

q-­breathers: from the fermi–pasta–ulam paradox to anomalous conductivity

The paper reviews the modern problems of nonlinear physics, where q-breathers theory finds its applications.

Characteristics of gap discrete breathers in crystals with NaCl structure

Molecular dynamics method is used to study the effect of mass ratio of anions and cations on the phonon spectra of the crystal with NaCl structure and on the discrete breathers existence  conditions and properties of gap discrete breathers. We show that discrete breathers can be easily excited for the mass ratio less than 0.2, when the gap in the phonon spectrum is wide enough to support them.