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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)4951-4963
Number of pages13
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number5
DOIs
Publication statusPublished - Jan 1 1997

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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