Influence of Anderson Localization on the Mode Decay of Excited Nonlinear Systems.
Influence of Anderson Localization on the Mode Decay of
Excited Nonlinear Systems.
Snyder, K. A.; Kirkpatrick, T. R.
Localization 1999: Disorder and Interaction in
Transport Phenomena. Poster Contributions of the
International Conference. Proceedings. July 29-August
3, 1999, Hamburg, Germany, 1999.
Annalen der Physik, Vol. 8, No. Special Issue,
ISSN ISSN 0003-3804
decay; Anderson localization; disordered systems;
A one-dimensional system of masses with nearest-neighbor
interactions and periodic boundary conditions is used to
study mode decay and ergodicity in nonlinear, disordered
systems. The system is given an initial periodic
displacement, and the total system energy within a
specific frequency channel is measured as a function of
time. Results indicate that the rate of mode decay at
early times increases when impurities are added.
However, for long times the rate of mode decay decreases
with increasing impurity mass and impurity
concentration. This behavior at long times can be
explained by Anderson localization effects and the
nonergodic response of the system.