- 97-366 Cirillo E.N.M., Lebowitz J.L.
- Metastability in the two-dimensional Ising model with free
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Jun 21, 97
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Abstract. 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
analytically in the limit $T\to 0$, $h\to 0$ and
via Monte Carlo simulations
at fixed values of $T$ and $h$ and find good agreement.
This system models the effects of boundary domains
in magnetic storage systems exiting
from a metastable phase when a small external field is applied.