INFLUENCE OF STATIC DISORDER ON THE DYNAMICS OF FERMI-RESONANCE SOLITARY WAVES AT THE INTERFACE BETWEEN 2 MOLECULAR LAYERS

We consider the nonlinear dynamics of the energy transport along the i nterface between two contacting molecular layers A and B. Between neig hboring molecules of different layers we assume a Fermi resonance coup ling, where the excitation energy omega(A) of a localized optical phon on at molecule B is approximately twice the excitation energy omega(B) of a localized phonon at molecule A. For the classical equations of m otion in continuum approximation. we find exact analytical solutions i n the form of solitary waves propagating along the interface. By numer ically integrating the discrete equations of motion, we (a) confirm th e stability of this solitary wave solutions on discrete ideal systems and (b) consider the dynamics of the solitary waves on discrete system s with static disorder.