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

Journal Article · Thu May 01 00:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.55.4951· OSTI ID:656936

Izrailev, F M; Kottos, T; Politi, A ^[1]

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1. Istituto Nazionale di Ottica, 50125 Firenze (Italy)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 656936
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 55, Issue 5; Other Information: PBD: May 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
WAVE PACKETS
WAVE PROPAGATION
ROTATIONAL STATES
QUANTUM MECHANICS
ENERGY LEVELS
SCALING LAWS
LOCALITY
DIFFUSION
FLUCTUATIONS
ROTATION