HAMILTONIAN DYNAMICS OF THE COMPLEX FROEHLICH DIMER

Abstract

A classical Hamiltonian system modelling dynamics of dipole momenta of the complex Froehlich dimer is proposed and analyzed. Formally, the classical system is a system of two quartic oscillators with three different coupling constants, and all formal parameters in the Hamiltonian's function are expressed via only two parameters with microscopic physical interpretation. The classification of stable configurations of the dimer in terms of stationary states of its classical model is given. Their stability, in the linear approximation as well as for the full nonlinear dynamics, is analyzed with respect to the variations of the physical parameters. For example, it is shown that for the medium values of the parameter related to the rate of the energy supplied to the dimer, the stable stationary state is not with the minimal energy, but corresponds to the deformed dimer, with parallel dipole momenta of the monomers.