The Magnetic Eden Model

Abstract

In the magnetic Eden model (MEM), particles have a spin and grow in contact with a thermal bath. Although Ising-like interactions affect the growth dynamics, deposited spins are frozen and not allowed to flip. This review article focuses on recent developments and future prospects, such as spontaneous switching phenomena, critical behavior associated with fractal, wetting, and order-disorder phase transitions, the equilibrium/nonequilibrium correspondence conjecture, as well as dynamical and critical features of the MEM defined on complex network substrates.

22 pages, 9 figures. To appear in IJMPC

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Cited by in corpus (7)

• Rare behavior of growth processes via umbrella sampling of trajectories
• Self-assembly at a nonequilibrium critical point
• Similarity of ensembles of trajectories of reversible and irreversible growth processes
• Advertising and irreversible opinion spreading in complex social networks
• Magnetic hierarchical deposition
• Predicting the outcome of the growth of binary solids far from equilibrium
• Stochastic Resonance and Dynamic First-Order Pseudo-Phase Transitions in the Irreversible Growth of Thin Films under Spatially Periodic Magnetic Fields