Metastability in the Two-Dimensional Ising Model with Free Boundary Conditions

@article{Cirillo1998MetastabilityIT,
  title={Metastability in the Two-Dimensional Ising Model with Free Boundary Conditions},
  author={E. Cirillo and J. Lebowitz},
  journal={Journal of Statistical Physics},
  year={1998},
  volume={90},
  pages={211-226}
}
We investigate metastability in the two dimensional Ising model in a square with free boundary conditions at low temperatures. Starting with all spins down in a small positive magnetic field, we show that the exit from this metastable phase occurs via the nucleation of a critical droplet in one of the four corners of the system. We compute the lifetime of the metastable phase analytically in the limit T → 0, h → 0 and via Monte Carlo simulations at fixed values of T and h and find good… Expand

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