Robustness of Interdependent Networks with Weak Dependency Based on Bond Percolation
Yingjie Qiang1, Xueming Liu1, Linqiang Pan1
1Key Laboratory of Image Information Processing and Intelligent Control, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China.
Entropy (Basel, Switzerland)
|December 23, 2022
Summary
Interdependent networks with weak dependency exhibit distinct phase transitions under link failures. Understanding node-coupling strength is crucial for designing robust systems vulnerable to link damage.
Area of Science:
- Complex systems science
- Network science
- Statistical physics
Background:
- Real-world systems are interconnected via dependencies, making them vulnerable to cascading failures.
- Previous models assumed strong node dependency, where node failure guarantees partner failure.
- The behavior of interdependent networks with weak dependency under link failures is not well understood.
Purpose of the Study:
- To model and analyze the robustness of interdependent networks with weak dependency under random link failures.
- To investigate the impact of node-coupling strength on system robustness and failure dynamics.
- To compare the effects of link failures versus node failures in interdependent networks.
Main Methods:
- Developed a model of fully interdependent networks with weak dependency, introducing a node-coupling strength parameter (α).
- Defined node failure probability as 1−α, where α represents the coupling strength.
- Employed an analytical tool to predict system robustness under random link removal (bond percolation).
Main Results:
- Identified distinct phase transitions: discontinuous for α < αc and continuous for α > αc, based on node-coupling strength.
- Found that crossover points (αc) are higher for link failures (bond percolation) compared to node failures (site percolation).
- Demonstrated accurate prediction of system robustness under significant link removal.
Conclusions:
- Node-coupling strength significantly influences the robustness and failure behavior of interdependent networks with weak dependency.
- Weak dependency and link failures introduce different robustness characteristics compared to strong dependency and node failures.
- Findings offer insights for designing and protecting critical infrastructure against link failures.
Related Concept Videos
02:18Network Covalent Solids
13.6K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
13.6K
01:12Bonding and Strength of Aggregate
241
The bond between aggregate particles and the cement matrix is significantly influenced by the shape and surface texture of the aggregates. High-strength concretes benefit from a rougher texture, which leads to stronger bonding due to greater adhesion. Angular aggregates with larger surface areas also enhance this bond. The bonding quality, however, is complex to assess as no universally accepted test exists. Good bonding is indicated when a crushed concrete specimen shows some aggregate...
241
02:40Chemical Bonds
17.0K
Atoms participate in a chemical bond formation to acquire a completed valence-shell electron configuration similar to that of the noble gas nearest to it in atomic number. Ionic, covalent, and metallic bonds are some of the important types of chemical bonds. Bond energy and bond length determine the strength of a chemical bond.
Types of Chemical Bonds
An ionic bond is formed due to electrostatic attraction between cations and anions. Often, the ions are formed by the transfer of electrons...
17.0K
02:26Protein Networks
4.0K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.0K
00:26Hydrogen Bonds
121.8K
Hydrogen bonds are weak attractions between atoms that have formed other chemical bonds. One of these atoms is electronegative, like oxygen, and has a partial negative charge. The other is a hydrogen atom that has bonded with another electronegative atom and has a partial positive charge.
Hydrogen Bonds Control the World!
Because hydrogen has very weak electronegativity when it binds with a strongly electronegative atom, such as oxygen or nitrogen, electrons in the bond are unequally shared....
Hydrogen Bonds Control the World!
Because hydrogen has very weak electronegativity when it binds with a strongly electronegative atom, such as oxygen or nitrogen, electrons in the bond are unequally shared....
121.8K
01:14Stability of structures
221
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
221