English

The Magnetic Eden Model

Statistical Mechanics 2009-11-13 v1 Disordered Systems and Neural Networks Materials Science

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.

Keywords

Cite

@article{arxiv.0806.4767,
  title  = {The Magnetic Eden Model},
  author = {Julián Candia and Ezequiel V. Albano},
  journal= {arXiv preprint arXiv:0806.4767},
  year   = {2009}
}

Comments

22 pages, 9 figures. To appear in IJMPC

R2 v1 2026-06-21T10:55:36.229Z