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On localization of vorticity in Lorentz lattice gases

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Abstract

We study the generalized deterministic Lorentz lattice gases, in a fixed as well as in varying environments, in lattices with dimensionsd≥3. We show that bounded orbits (“vortices”) in these models are often contained in some lower dimensional subsets (“vortex sheets”) of these lattices.

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Authors and Affiliations

  1. School of Mathematics and Center of Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, 30332, Athens, Georgia

    L. A. Bunimovich

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  1. L. A. Bunimovich
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Communicated by J. L. Lebowitz

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Bunimovich, L.A. On localization of vorticity in Lorentz lattice gases. J Stat Phys 87, 449–457 (1997). https://doi.org/10.1007/BF02181496

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  • DOI: https://doi.org/10.1007/BF02181496

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