Abstract
We study numerically the evolution of wave packets in quasi-one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets in three time regimes: ballistic, diffusive, and localized. Particular attention is given to the fluctuations of packet widths in both the diffusive and localized regime. Scaling properties of the steady-state distribution are also analyzed and compared with a theoretical expression borrowed from the one-dimensional Anderson theory. Analogies and differences with the kicked rotator model and the one-dimensional localization are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 4951-4963 |
| Number of pages | 13 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 55 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Jan 1 1997 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Cite this
Izrailev, F. M., Kottos, T., Politi, A., & Tsironis, G. P. (1997). Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(5), 4951-4963. https://doi.org/10.1103/PhysRevE.55.4951