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Updated: May 25, 2026

Research and Development of High-performance Explosives

Research and Development of High-performance Explosives

Published on: February 20, 2016

Suppression effect on explosive percolation.

Y S Cho¹, B Kahng

¹Department of Physics and Astronomy, Seoul National University, Seoul , Korea.

Physical Review Letters

|January 17, 2012

Summary

This summary is machine-generated.

Percolation transitions in networks can be explosive and discontinuous. This study reveals that specific dynamic rules, suppressing cluster growth, lead to a finite discontinuity in the order parameter, confirming discontinuous explosive percolation transitions.

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Area of Science:

Network Science
Statistical Physics

Background:

Percolation transitions (PTs) conventionally form macroscopic clusters through continuous transitions.
A modified random graph model exhibits explosive PTs with suppressed cluster growth, creating controversy over their nature (continuous vs. discontinuous).

Purpose of the Study:

To investigate the nature of explosive percolation transitions (PTs) under specific dynamic rules.
To determine if explosive PTs are discontinuous or continuous.

Main Methods:

Analysis of a modified classical random graph model.
Investigating dynamic rules designed to suppress cluster growth.
Examining the behavior of the order parameter as system size increases.

Main Results:

The behavior of explosive PTs is dependent on the specific dynamic rules employed.
When cluster growth is suppressed, the discontinuity of the order parameter approaches a finite value with increasing system size.

Conclusions:

The findings indicate that explosive percolation transitions can be discontinuous.
Dynamic rules play a critical role in determining the nature of explosive PTs.