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Percolation in interdependent and interconnected networks: abrupt change from second- to first-order transitions
Yanqing Hu1, Baruch Ksherim, Reuven Cohen
1School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2012
Summary
This study explores the robustness of coupled networks with both dependency and connectivity links. Researchers discovered novel hybrid phase transitions and discontinuous shifts between transition orders in these complex systems.
Area of Science:
- Network science
- Statistical physics
- Complex systems
Background:
- Previous studies on coupled network robustness focused solely on dependency or connectivity coupling.
- A more realistic model incorporating both interdependent and interconnected links is needed.
Purpose of the Study:
- To investigate the robustness of coupled network systems with both dependency and connectivity.
- To analyze the phase-transition phenomena in such realistic coupled networks.
Main Methods:
- Utilizing a percolation approach to model coupled networks.
- Analyzing the behavior of the giant component under varying coupling strengths.
Main Results:
- Observed rich and unusual phase-transition phenomena, including hybrid transitions of mixed first and second order.
- Discovered discontinuous changes in transition order (from second-order to first-order) based on dependency coupling strength.
Conclusions:
- The interplay of dependency and connectivity in coupled networks leads to complex and novel phase transitions.
- Understanding these transitions is crucial for designing robust complex systems.
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