Explosive Ising
arXiv:1204.5196 · doi:10.1088/1742-5468/2012/06/L06002
Abstract
We study a two-dimensional kinetic Ising model with Swendsen-Wang dynamics, replacing the usual percolation on top of Ising clusters by explosive percolation. The model exhibits a reversible first-order phase transition with hysteresis. Surprisingly, at the transition flanks the global bond density seems to be equal to the percolation thresholds.
7 pages, 5 figures
References in corpus (15)
- "Explosive Percolation" Transition is Actually Continuous
- Explosive Percolation is Continuous, but with Unusual Finite Size Behavior
- Explosive percolation in scale-free networks
- Explosive percolation via control of the largest cluster
- Percolation Transitions in Scale-Free Networks under Achlioptas Process
- Construction and Analysis of Random Networks with Explosive Percolation
- Explosive percolation: a numerical analysis
- Local cluster aggregation models of explosive percolation
- Scaling behavior of explosive percolation on the square lattice
- Cluster aggregation model for discontinuous percolation transition
- A new route to Explosive Percolation
- Continuity of the Explosive Percolation Transition
- Explosive Percolation in the Human Protein Homology Network
- A Hamiltonian approach for explosive percolation
- Finite-size scaling theory for explosive percolation transitions
Cited by in corpus (6)
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Explosive Phenomena in Complex Networks
- Explosive Percolation: Novel critical and supercritical phenomena
- Explosive Percolation: Unusual Transitions of a Simple Model
- Weakly Explosive Percolation in Directed Networks
- Explosive neural networks via higher-order interactions in curved statistical manifolds