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Propagative Mode in a Lattice-Grain CA: Time Evolution and Timestep Synchronization

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Book cover Cellular Automata (ACRI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7495))

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Abstract

The void propagation defines a long-range interaction in granular matter. We detail a logic scheme simulating the propagation and implemented in a 2d cellular automata applied to granular flow. The CA belongs to the family of “lattice-grain” automata (LGrA) with one particle per cell. We focus first on the influence of inertia, or “memory effect”, on the flow patterns. The propagative mode is presented afterwards: it implies that transition and timestep must be considered at two different time scales. Although a CA is usually driven by local, nearest-neighbor communications, it follows here that the timestep termination must be detected at each transition, that involves a perpetual and global communication within the network to synchronize the timestep. An all-to-all “systolic gossiping” underlies the framework of this void propagation model.

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Author information

Authors and Affiliations

  1. INSA – Institut National des Sciences Appliquées, Laboratoire de Génie Civil & Génie Mécanique, 20 Avenue des Buttes de Coësmes, 35043, Rennes, France

    Dominique Désérable

Authors
  1. Dominique Désérable
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Laboratory of Electronics, Democritus University of Thrace, GR 67100, Xanthi, Greece

    Georgios Ch. Sirakoulis

  2. CSAI - Complex Systems and Artificial Intelligence Research Center, University of Milano-Bicocca, 20134, Milano, Italy

    Stefania Bandini

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Désérable, D. (2012). Propagative Mode in a Lattice-Grain CA: Time Evolution and Timestep Synchronization. In: Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2012. Lecture Notes in Computer Science, vol 7495. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33350-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-33350-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33349-1

  • Online ISBN: 978-3-642-33350-7

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