The Magnetic Eden Model

TL;DR

The paper reviews recent advances in the Magnetic Eden Model, highlighting phenomena like phase transitions, critical behavior, and dynamics on complex networks, emphasizing its relevance in understanding spin growth processes in statistical physics.

Contribution

It provides a comprehensive overview of recent developments and future directions in the study of the Magnetic Eden Model, including new insights into phase transitions and complex network dynamics.

Findings

Spontaneous switching phenomena identified

Critical behavior linked to phase transitions analyzed

Dynamical features on complex networks explored

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.