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Universality class of the fiber bundle model on complex networks
Dong-Hee Kim1, Beom Jun Kim, Hawoong Jeong
1Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
Physical Review Letters
|February 9, 2005
Summary
Complex network failure under local load sharing surprisingly exhibits global load sharing behavior. This occurs because a dominant cluster of broken fibers effectively distributes the load across the entire network.
Area of Science:
- Network science
- Statistical physics
- Materials science
Background:
- Complex networks are crucial in various systems, and their failure mechanisms are critical to understand.
- The fiber bundle model is a standard framework for studying network failure.
- Load sharing rules dictate how stress redistributes after component failure.
Purpose of the Study:
- To investigate the failure characteristics of complex networks using the fiber bundle model.
- To determine if local load sharing leads to different critical behaviors than global load sharing.
- To understand the microscopic mechanisms driving network failure.
Main Methods:
- Utilizing the fiber bundle model with a strictly local load sharing rule.
- Conducting numerical simulations to observe failure patterns.
- Applying analytical approaches to study microscopic behavior.
Main Results:
- Observed that local load sharing in complex networks leads to critical behavior characteristic of global load sharing.
- Identified the emergence of a single dominant hub cluster of broken fibers.
- Demonstrated that this dominant cluster is responsible for the global load sharing effect.
Conclusions:
- Network complexity and local interactions can unexpectedly mimic global load sharing phenomena.
- The formation of dominant failure clusters is a key mechanism in complex network resilience and failure.
- Findings have implications for designing robust complex systems.