Related Experiment Video
Updated: May 25, 2026

Blast Quantification Using Hopkinson Pressure Bars
Published on: July 5, 2016
Explosive site percolation and finite-size hysteresis
Nikolaos Bastas1, Kosmas Kosmidis, Panos Argyrakis
1Department of Physics, University of Thessaloniki, GR-54124 Thessaloniki, Greece. nimpasta@physics.auth.gr
We determined the critical point for explosive site percolation on 2D square lattices. This explosive percolation may belong to a distinct universality class compared to bond percolation, differing in transition properties and scaling behavior.
Area of Science:
- Statistical Physics
- Complex Systems
- Network Science
Background:
- Percolation theory studies the formation of connected clusters in random networks.
- Explosive percolation is a phenomenon exhibiting a sudden, discontinuous phase transition.
- Understanding explosive percolation on lattices is crucial for various scientific fields.
Purpose of the Study:
- To determine the critical point for explosive site percolation on 2D square lattices.
- To compare explosive site percolation with classical percolation and bond percolation.
- To investigate the universality class of explosive site percolation.
Main Methods:
- Monte Carlo simulations were employed to model explosive site percolation.
- Algorithms similar to those used for bond percolation and networks were adapted.
- Finite size scaling analysis was performed to study transition properties.
Main Results:
- The explosive site percolation threshold was calculated as p(c) = 0.695.
- Evidence suggests explosive site percolation may belong to a different universality class than bond percolation.
- Direct and reverse percolation processes differ in finite systems but converge in the thermodynamic limit.
Conclusions:
- Explosive site percolation on 2D square lattices exhibits unique characteristics.
- The findings challenge existing assumptions about universality classes in percolation phenomena.
- Further research is needed to fully elucidate the nature of explosive percolation transitions.
Related Concept Videos
Limits with Oscillating Discontinuities
The Squeeze Theorem
Precipitate Formation and Particle Size Control
The obtained precipitate should be either a pure substance of known composition or easily converted to one by a simple process, such as ignition or drying. In addition, the precipitate should be insoluble and easily filterable. In general, filterability...
Design Example: Creating a Hydraulic Model of a Dam Spillway
Underflow Gates
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.