FERMI RESONANCE INTERFACE MODES AND BISTABLE ENERGY TRANSMISSION THROUGH THE INTERFACE

We investigate the nonlinear dynamics of an interface in the region of the interface Fermi resonance, when the energy HBARomega2 of vibrational excitations on one side of the interface is approximately equal to 2HBARomega1, where HBARomega1 is the excitation energy on the other side. We show that intermolecular cubic anharmonicity across the interface not only produces Fermi resonance interface modes (FRIM), but can also lead to bistability in the energy transmission through the interface. Using the simplest 1D model for the interface, we demonstrate the close connection between the bistability and the classical version of the FRIM, together with the dependence of the bistability on the driving frequency and amplitude, and on the vibrational damping.