### 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
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*Dept. of Theoret. and Appl. Mech., Univ. of Illinois, Urbana, IL 61801
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**John Burkhardt
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*Indiana Univ.-Purdue Univ., Ft. Wayne, IN 46805-1499
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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.]