ASA 130th Meeting - St. Louis, MO - 1995 Nov 27 .. Dec 01

4pSA6. Diffuse wave energy transport in multicoupled, one-dimensional Anderson localizing systems.

R. L. Weaver

Dept. of Theoret. and Appl. Mech., Univ. of Illinois, Urbana, IL 61801

John Burkhardt

Indiana Univ.-Purdue Univ., Ft. Wayne, IN 46805-1499

The spatial and time domain evolution of energy density in a multicoupled, one-dimensional disordered system is investigated. Scaling theory predictions are presented for both localization lengths and rates of diffuse transport. Scaling arguments suggest that localization lengths equal (pi)(rho)D[inf o], where (rho) is the modal density per unit length and D[inf o] is the bare diffusivity. Additionally, the rate of diffuse energy transport over a distance L is found to scale as (rho)L. These predictions are compared with the behavior of a numerical model for an Anderson localizing system. The system modeled is a cylindrical membrane disordered by the introduction of a random foundation of springs. [Work supported by ONR.]