Transport in multi-coupled Anderson localizing systems

The time-domain behavior of a multi-coupled disordered system is studied by numerical simulation. A two-dimensional mesh with periodic boundary conditions in a short, circumferential, direction, and fixed boundary conditions in a long, axial, direction, is subjected to a tone-burst load on the central ring. The resulting narrow-band process has an energy density which evolves in space and time. On short time scales it diffuses classically. On long time scales the transport ceases and the profile approaches an exponential. Localization lengths and transport time scales are compared with earlier predictions.