Percolation on spatial anisotropic networks*

Abstract

Many realistic systems such as infrastructures are characterized by spatial structure and anisotropic alignment. Here we propose and study a model for dealing with such characteristics by introducing a parameter that controls the strength of the anisotropy in the spatial network. This parameter is added to an existing isotropic model used to describe networks under spatial constraints, thus generalizing the spatial model to take into account both spatial and anisotropic features. We study the resilience of such networks by using a percolation process and find that anisotropy has a negative impact on a network’s robustness. In addition, our results suggest that the anisotropy in this model does not affect the critical exponent of the correlation length,ν, which remains the same as the knownνin 2D isotropic lattices.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 30, 2022
Source ID
10.1088/1751-8121/ac6914

Entities

People

  • Bnaya Gross
  • Dana Vaknin
  • Ouriel Gotesdyner
  • Shlomo Havlin

Organizations

  • Bulgarian Science Fund
  • Defense Threat Reduction Agency
  • Israel Science Foundation
  • National Science Foundation

Tags

Fields of Study

  • Computer science

Readers

  • Computer Networking
  • Materials Science and Engineering.
  • Theoretical Analysis.