Percolation transitions in interdependent networks with reinforced dependency links.
Jie Li1, Ying Wang1, Jilong Zhong2
1Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an 710038, China.
Chaos (Woodbury, N.Y.)
|October 1, 2022
Summary
Reinforcing dependency links in interdependent networks prevents cascading failures. A minimum fraction of reinforced links is crucial for network stability, offering greater resilience than node reinforcement.
Area of Science:
- Network science
- Complex systems analysis
- Statistical physics
Background:
- Interdependent networks are vulnerable to cascading failures due to dependencies.
- Reinforcing network nodes can enhance robustness, but reinforcing dependency links is less explored.
Purpose of the Study:
- To investigate the impact of reinforcing dependency links on the resilience of interdependent networks.
- To determine the critical fraction of reinforced links needed to prevent abrupt transitions and cascading failures.
Main Methods:
- Development of a percolation model incorporating a fraction of reinforced dependency links.
- Analytical and numerical solutions for calculating the minimum fraction of reinforced links.
- Comparison of reinforcement efficiency between link-reinforced and node-reinforced methods.
Main Results:
- A minimum fraction of reinforced dependency links is identified as a boundary for phase transitions.
- An upper bound of 0.08801 for reinforced links in random networks was found, independent of average degree.
- The link-reinforcement method shows higher efficiency than node reinforcement, especially in scale-free networks.
Conclusions:
- Reinforcing dependency links is an effective strategy for enhancing network resilience.
- Network heterogeneity significantly influences reinforcement efficiency.
- Findings offer insights for designing robust interdependent networks.
More Related Videos
09:01A Method for Investigating Age-related Differences in the Functional Connectivity of Cognitive Control Networks Associated with Dimensional Change Card Sort Performance
Published on: May 7, 2014
10.3K
11:09RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans
Published on: July 17, 2021
3.1K
Related Concept Videos
01:10Entropy Change in Reversible Processes
2.7K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.7K
01:15Theories of Dissolution: Diffusion Layer Model
869
Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
869
01:14Reversible and Irreversible Processes
4.4K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.4K
02:12Relationship Formation
40.6K
What do you think is the single most influential factor in determining with whom you become friends and whom you form romantic relationships? You might be surprised to learn that the answer is simple: the people with whom you have the most contact. This most important factor is proximity. You are more likely to be friends with people you have regular contact with. For example, there are decades of research that shows that you are more likely to become friends with people who live in your dorm,...
40.6K
01:10Types of Coprecipitation
796
Coprecipitation is the contamination of a precipitate by otherwise soluble species and occurs via different processes. In colloidal precipitates, coprecipitation occurs via surface adsorption. For instance, barium sulfate has a primary layer of adsorbed barium ions and a secondary layer of nitrate counterions. This results in contamination of the precipitate by barium nitrate.
Sometimes, ions in a crystal lattice can undergo isomorphous replacement by inclusions of similar charge and size. For...
Sometimes, ions in a crystal lattice can undergo isomorphous replacement by inclusions of similar charge and size. For...
796
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
3.2K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.2K