skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Enhancing robustness and immunization in geographical networks

Abstract

We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain an explicit form of the percolation threshold q{sub c} for networks containing arbitrary order cycles. For three-cycles, the dependence of q{sub c} on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with analytical evidence.

Authors:
 [1];  [2];  [3];  [2];  [1];  [2];  [2];  [2]
  1. Institute of Modern Physics, Chinese Academy of Science, Lanzhou 730000 (China)
  2. (China)
  3. Center for Complex Systems, Jimei University, Xiamen 361021 (China)
Publication Date:
OSTI Identifier:
21072401
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevE.75.036101; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; 60 APPLIED LIFE SCIENCES; CALCULATION METHODS; FUNCTIONS; NETWORK ANALYSIS; STATISTICAL MECHANICS; TOPOLOGY

Citation Formats

Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, and Hong Kong Baptist University, Hong Kong. Enhancing robustness and immunization in geographical networks. United States: N. p., 2007. Web. doi:10.1103/PHYSREVE.75.036101.
Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, & Hong Kong Baptist University, Hong Kong. Enhancing robustness and immunization in geographical networks. United States. doi:10.1103/PHYSREVE.75.036101.
Huang Liang, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Kongqing, Department of Physics, Lanzhou University, Lanzhou 730000, Yang Lei, Department of Physics, Lanzhou University, Lanzhou 730000, Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong, and Hong Kong Baptist University, Hong Kong. Thu . "Enhancing robustness and immunization in geographical networks". United States. doi:10.1103/PHYSREVE.75.036101.
@article{osti_21072401,
title = {Enhancing robustness and immunization in geographical networks},
author = {Huang Liang and Department of Physics, Lanzhou University, Lanzhou 730000 and Yang Kongqing and Department of Physics, Lanzhou University, Lanzhou 730000 and Yang Lei and Department of Physics, Lanzhou University, Lanzhou 730000 and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Hong Kong and Hong Kong Baptist University, Hong Kong},
abstractNote = {We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, strategies for enhancing robustness and immunization of a geographical network are proposed. Using the generating function formalism, we obtain an explicit form of the percolation threshold q{sub c} for networks containing arbitrary order cycles. For three-cycles, the dependence of q{sub c} on the clustering coefficients is ascertained. The analysis substantiates the validity of the strategies with analytical evidence.},
doi = {10.1103/PHYSREVE.75.036101},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • Multipartite quantum correlations are important resources for the development of quantum information and computation protocols. However, the resourcefulness of multipartite quantum correlations in practical settings is limited by its fragility under decoherence due to environmental interactions. Though there exist protocols to protect bipartite entanglement under decoherence, the implementation of such protocols for multipartite quantum correlations has not been sufficiently explored. Here, we study the effect of local amplitude damping channel on the generalized Greenberger–Horne–Zeilinger state, and use a protocol of optimal reversal quantum weak measurement to protect the multipartite quantum correlations. We observe that the weak measurement reversal protocol enhancesmore » the robustness of multipartite quantum correlations. Further it increases the critical damping value that corresponds to entanglement sudden death. To emphasize the efficacy of the technique in protection of multipartite quantum correlation, we investigate two proximately related quantum communication tasks, namely, quantum teleportation in a one sender, many receivers setting and multiparty quantum information splitting, through a local amplitude damping channel. We observe an increase in the average fidelity of both the quantum communication tasks under the weak measurement reversal protocol. The method may prove beneficial, for combating external interactions, in other quantum information tasks using multipartite resources. - Highlights: • Extension of weak measurement reversal scheme to protect multiparty quantum correlations. • Protection of multiparty quantum correlation under local amplitude damping noise. • Enhanced fidelity of quantum teleportation in one sender and many receivers setting. • Enhanced fidelity of quantum information splitting protocol.« less
  • In this paper we are concerned with the problem of stability for quantum feedback networks. We demonstrate in the context of quantum optics how stability of quantum feedback networks can be guaranteed using only simple gain inequalities for network components and algebraic relationships determined by the network. Quantum feedback networks are shown to be stable if the loop gain is less than one--this is an extension of the famous small gain theorem of classical control theory. We illustrate the simplicity and power of the small gain approach with applications to important problems of robust stability and robust stabilization.
  • All edges in the classical Watts and Strogatz's small-world network model are unweighted and cooperative (positive). By introducing competitive (negative) inter-cluster edges and assigning edge weights to mimic more realistic networks, this paper develops a modified model which possesses co-competitive weighted couplings and cluster structures while maintaining the common small-world network properties of small average shortest path lengths and large clustering coefficients. Based on theoretical analysis, it is proved that the new model with inter-cluster co-competition balance has an important dynamical property of robust cluster synchronous pattern formation. More precisely, clusters will neither merge nor split regardless of adding ormore » deleting nodes and edges, under the condition of inter-cluster co-competition balance. Numerical simulations demonstrate the robustness of the model against the increase of the coupling strength and several topological variations.« less
  • The conductivity of carbon nanotube thin films is mainly determined by carbon nanotube junctions, the resistance of which can be reduced by several different methods. We investigate electronic transport through carbon nanotube junctions in a four-terminal configuration, where two metallic single-wall carbon nanotubes are linked by a group 6 transition metal atom. The transport calculations are based on the Green’s function method combined with the density-functional theory. The transition metal atom is found to enhance the transport through the junction near the Fermi level. However, the size of the nanotube affects the improvement in the conductivity. The enhancement is relatedmore » to the hybridization of chromium and carbon atom orbitals, which is clearly reflected in the character of eigenstates near the Fermi level. The effects of chromium atoms and precursor molecules remaining adsorbed on the nanotubes outside the junctions are also examined.« less
  • Spontaneous droplet jumping on nanostructured surfaces can potentially enhance condensation heat transfer by accelerating droplet removal. However, uncontrolled nucleation in the micro-defects of nanostructured superhydrophobic surfaces could lead to the formation of large pinned droplets, which greatly degrades the performance. Here, we experimentally demonstrate for the first time stable and efficient jumping droplet condensation on a superhydrophobic surface with three-dimensional (3D) copper nanowire networks. Due to the formation of interconnections among nanowires, the micro-defects are eliminated while the spacing between nanowires is reduced, which results in the formation of highly mobile droplets. By preventing flooding on 3D nanowire networks, wemore » experimentally demonstrate a 100% higher heat flux compared with that on the state-of-the-art hydrophobic surface over a wide range of subcooling (up to 28 K). The remarkable water repellency of 3D nanowire networks can be applied to a broad range of water-harvesting and phase-change heat transfer applications.« less