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Updated: Jun 3, 2026

Research and Development of High-performance Explosives

Research and Development of High-performance Explosives

Published on: February 20, 2016

Tricritical point in explosive percolation.

Nuno A M Araújo¹, José S Andrade, Robert M Ziff

¹Computational Physics for Engineering Materials, IfB, ETH Zurich, Switzerland.

Physical Review Letters

|March 17, 2011

Summary

This summary is machine-generated.

Researchers achieved a tricritical percolation point by interpolating between classical and explosive percolation models. High-precision simulations confirmed a consistent scaling scenario, yielding a crossover exponent of 1.8 ± 0.1.

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Published on: February 22, 2018

Area of Science:

Statistical Physics
Complex Systems
Phase Transitions

Background:

Percolation theory describes connectivity in random networks.
Explosive percolation exhibits unique, rapid phase transitions.
Tricritical points represent unique states where three phases meet.

Purpose of the Study:

To realize and investigate a tricritical percolation point.
To bridge classical and explosive percolation phenomena.
To determine the tricritical crossover exponent.

Main Methods:

Developing an interpolation between classical and explosive percolation models.
Conducting high-precision numerical simulations.
Analyzing the order parameter and cluster size distribution moments.

Main Results:

Successfully realized a tricritical percolation point.
Observed a consistent tricritical scaling scenario.
Quantified the tricritical crossover exponent as 1/φ(t) = 1.8 ± 0.1.

Conclusions:

The interpolation method provides a viable route to study tricritical phenomena.
Simulation results strongly support the identified scaling laws.
This work offers new insights into critical phenomena in disordered systems.