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.

–

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