Metastability in the two-dimensional Ising model with free boundary conditions

Details Metastability in the two-dimensional Ising model with free boundary conditions Metastability in the two-dimensional Ising model with free boundary conditions

1997-05-30

arxiv.org/abs/cond-mat/9705311v1

Journ. Stat. Phys. 90, 211-226, 1998.

Physics

Condensed Matter

Statistical Mechanics

24 pages, TeX file

Scientific paper

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 $T\to 0$, $h\to 0$ 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.

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