Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization

F. M. Izrailev; T. Kottos; A. Politi; G. P. Tsironis

doi:10.1103/PhysRevE.55.4951

Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization

F. M. Izrailev, T. Kottos, A. Politi, G. P. Tsironis

Department of Physics

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

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	https://doi.org/10.1103/PhysRevE.55.4951
Publication status	Published - 1997

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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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, 1997, p. 4951-4963.

Research output: Contribution to journal › Article › peer-review

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Evolution of wave packets in quasi-one-dimensional and one-dimensional random media: Diffusion versus localization

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