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Discontinuous transition in explosive percolation via local suppression.

Young Sul Cho¹

¹Jeonbuk National University, Jeonbuk National University, Department of Physics, Jeonju 54896, Republic of Korea and Research Institute of Physics and Chemistry, Jeonju 54896, Republic of Korea.

Physical Review. E

|April 18, 2026

Summary

This summary is machine-generated.

This study introduces an explosive percolation model where rewiring nodes suppress cluster growth. A discontinuous transition emerges even with finite rewiring, showing local information can drive phase transitions.

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Area of Science:

Complex systems
Network science
Statistical physics

Background:

Percolation theory describes phase transitions in networks.
Explosive percolation models exhibit rapid, discontinuous transitions.
Previous models often required global information for such transitions.

Purpose of the Study:

To investigate an explosive percolation model with node rewiring.
To determine if local information can induce discontinuous transitions.
To extend understanding of phase transitions in dynamic networks.

Main Methods:

Simulating a novel explosive percolation model.
Introducing a rewiring mechanism for neighboring nodes.
Analyzing the impact of finite rewiring on cluster growth.

Main Results:

A discontinuous phase transition was observed.
The transition occurred even with a finite number of rewiring nodes.
Rewiring successfully suppressed large cluster formation.

Conclusions:

Local information combined with rewiring can lead to discontinuous transitions.
This model provides a new mechanism for explosive phenomena in networks.
The findings challenge previous assumptions about information requirements for phase transitions.