Frenkel-Kontorova model with anharmonic interactions

Publisher Website
Google Scholar
Abstract
It is shown that allowing for anharmonicity of the interatomic forces within the framework of the Frenkel-Kontorova model may have a dramatic effect on the soliton picture arising in systems with competing periodicities. An approximate analytical treatment, as well as numerical iterations of the corresponding two-dimensional area-preserving mapping, reveal discontinuities which indicate a disintegration (rupture) of the entire system beyond some critical values of the characteristic parameters.