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Dynamical properties of model communication networks.
Roger Guimerà1, Alex Arenas, Albert Díaz-Guilera
1Departament d'Enginyeria Química, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
Summary
This study explores communication process models, revealing that critical congestion transitions only occur when the information load parameter xi equals 1. Other values of xi show crossovers or discontinuous transitions with emergent congestion nuclei.
Area of Science:
- Complex Systems
- Network Science
- Information Theory
Background:
- Communication processes are fundamental to networked systems.
- Understanding congestion dynamics is crucial for system efficiency.
- Previous models primarily analyzed the critical point at xi=1.
Purpose of the Study:
- To investigate the dynamical properties of communication process models.
- To analyze the impact of the parameter xi on congestion transitions.
- To characterize system behavior across different xi values.
Main Methods:
- Analysis of order parameter, susceptibility, and time correlations.
- Modeling communication processes with a single parameter xi.
- Examination of various network topologies for xi=1.
Main Results:
- A critical transition to congestion is observed exclusively at xi=1.
- For xi<1, a crossover from low- to high-density states occurs without a sharp transition.
- For xi>1, a discontinuous congestion transition emerges, forming congestion nuclei.
Conclusions:
- The parameter xi critically dictates the nature of congestion in communication networks.
- System behavior ranges from smooth crossovers to abrupt phase transitions based on xi.
- The findings provide insights into controlling and predicting network congestion.