Related Experiment Videos
Percolation of partially interdependent scale-free networks.
Di Zhou1, Jianxi Gao, H Eugene Stanley
1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
Summary
The study reveals three distinct percolation behaviors in interdependent scale-free networks based on coupling strength. These transitions range from abrupt collapse to continuous changes as network failures increase.
Area of Science:
- Network Science
- Statistical Physics
- Complex Systems
Background:
- Scale-free (SF) networks are ubiquitous in nature and technology.
- Understanding the robustness of interdependent networks is crucial for system reliability.
- Percolation theory models network failure under random node removal.
Purpose of the Study:
- To investigate the percolation behavior of two interdependent SF networks.
- To analyze the impact of coupling strength (q) on network collapse transitions.
- To identify critical coupling strengths and their relation to degree distribution exponents.
Main Methods:
- Numerical solutions of analytical expressions for percolation.
- Computer simulations of network failure under random node removal.
- Analysis of the giant component's behavior as a function of node failure probability (p).
Main Results:
- Three distinct percolation regimes identified based on coupling strength q: abrupt collapse (q≥q(1)), hybrid transition (q(2)
- Critical coupling strength q(1) depends on the degree distribution scaling exponent (λ), decreasing with λ for λ>3.
- In the hybrid regime, the giant component exhibits a discontinuous jump followed by a continuous decrease to zero.
Conclusions:
- The coupling strength critically dictates the failure mode of interdependent networks.
- For scale-free networks with λ≤3, the critical failure probability p(c)=0 is maintained even with partial interdependence.
- Results provide insights into the resilience and failure mechanisms of complex interconnected systems.
Related Concept Videos
01:14Scale-Up Processes
The scale-up of microbial fermentation processes is essential in industrial biotechnology, allowing the transition from laboratory-scale experiments to commercial-scale production while aiming to maintain product yield and quality. This process requires meticulous adjustment of equipment design, process parameters, and contamination control strategies to accommodate increasing culture volumes.At the laboratory scale, cultures are typically maintained in 1 to 10-liter glass or autoclavable...
01:15Theories of Dissolution: Diffusion Layer Model
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...
01:21Multiple Pipe Systems
Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
01:25Neural Circuits
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
01:19Cyclic Processes And Isolated Systems
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...
01:30Typical Model Studies
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.