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 condit ions in a short, circumferential, direction, and fixed boundary conditions in a long, axial, direction, is subjected to a tone-burst load on the centr al ring. The resulting narrow-band process has an energy density which evol ves in space and time. On short time scales it diffuses classically. On lon g time scales the transport ceases and the profile approaches an exponentia l. Localization lengths and transport time scales are compared with earlier predictions. (C) 2000 Elsevier Science Ltd. All rights reserved.