N. Fialko

The paper develops the general theory of excitation transfer dynamics in multi-site systems. The approach we used is based on a quantum-mechanical description and is used for calculating the dynamics of charge transfer in DNA over a long distance. A typical pattern of transfer, involving the possibilities of superexchange and hopping transfer, as well as transfer through excitations of polaron and soliton types, has been obtained from a large number of numerical experiments. The model under examination describes (in some particular cases) the dynamics of neural networks, the population dynamics in mathematical ecology, and evolution of wave packets in non-linear optics. This model can be used in various allied fields.