Explosive Ising
Sebastian Angst, Silvio R. Dahmen, Haye Hinrichsen, Alfred Hucht, and, Martin P. Magiera

TL;DR
This paper investigates a modified 2D Ising model using explosive percolation, revealing a reversible first-order phase transition with hysteresis and unexpected behavior at transition points.
Contribution
It introduces a novel kinetic Ising model with explosive percolation dynamics, demonstrating a first-order phase transition with hysteresis and unique bond density properties.
Findings
Reversible first-order phase transition observed.
Hysteresis present in the model.
Bond density aligns with percolation thresholds at transition.
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.
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