Cascading failures in interdependent lattice networks: from first order to second order phase transition

ORAL

Abstract

We study a system composed of two interdependent lattice networks A and B, where nodes in network A depend on a node within a certain shuffling distance $r$ of its corresponding counterpart in network B and vice versa. We find, using numerical simulation that percolation in the two interdependent lattice networks system shows that for small $r$ the phase transition is second order while for larger $r$ it is a first order.

*We wish to thank DTRA for financial support and Dr. Robin Burk for encouraging discussions. We acknowledge the partial support of this research through the Dr. Bernard W. Gamson Computational Science Center at Yeshiva College.

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Authors

  • Wei Li

    • Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215 USA

  • Amir Bashan

    • Department of Physics, Bar-Ilan University, Ramat-Gan, Israel
    • Department of Physics, Bar-Ilan University, Romat-Gan 52900, Israel
    • Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel

  • Sergey Buldyrev

    • Yeshiva University
    • Dept of Physics, Yeshiva University
    • Department of Physics, Yeshiva University, 500 West 185th Street, New York, New York 10033, USA

  • H.Eugene Stanley

    • Boston University
    • Center for Polmer Studies, Department of Physics, Boston University, Boston, MA
    • Boston University, Boston, MA 02215, USA
    • Center for Polymer Studies and Dept of Physics, Boston University
    • Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215 USA
    • Center for Polymer Studies and Department of Physics, Boston University

  • Shlomo Havlin

    • Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
    • Bar-Ilan University
    • Department of Physics, Bar-Ilan University, Ramat-Gan, Israel
    • Department of Physics, Bar-Ilan University, Romat-Gan 52900, Israel
    • Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel
    • Mineva Center and Department of Physics, Bar-Ilan University