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 A |
| Publication status | Published - May 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
Evolution of wave packets in quasi-one-dimensional and one-dimensional random media : Diffusion versus localization. / Izrailev, F. M.; Kottos, T.; Politi, A.; Tsironis, G. P.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, No. 5 A, 05.1997, p. 4951-4963.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Evolution of wave packets in quasi-one-dimensional and one-dimensional random media
T2 - Diffusion versus localization
AU - Izrailev, F. M.
AU - Kottos, T.
AU - Politi, A.
AU - Tsironis, G. P.
PY - 1997/5
Y1 - 1997/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031145083&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031145083&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031145083
VL - 55
SP - 4951
EP - 4963
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 5 A
ER -