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    Backscattering-Induced Crossover in Deterministic Diffusion 
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    Backscattering-Induced Crossover in Deterministic Diffusion

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    Published to ArXiv.org
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    Abstract
    We study diffusion in a one-dimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the dynamics of a crisis in chaotic scattering. We show that the strong backscattering associated with the crisis mechanism induces a crossover which leads to different asymptotic laws for the parameter-dependent diffusion coefficient. These laws are obtained from exact diffusion coefficient results and are supported by simple random walk models. We argue that the main physical feature of the crossover should be present in many other dynamical systems with non-equilibrium transport.
    Authors
    Klages, R; Dorfman, JR
    URI
    http://qmro.qmul.ac.uk/xmlui/handle/123456789/13743
    Collections
    • Applied Mathematics [140]
    Licence information
    The URI http://arxiv.org/licenses/assumed-1991-2003/ is used to indicate this assumed license.
    Copyright statements
    (c) 1996 The Authors
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