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 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.

Metastability in the two-dimensional Ising model with free boundary conditions / Cirillo, Emilio Nicola Maria; J. L., Lebowitz. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 90:1-2(1998), pp. 211-226. [10.1023/a:1023255802455]

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

CIRILLO, Emilio Nicola Maria;
1998

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 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 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.
1998
ising model; metastability; nucleation; stochastic dynamics
01 Pubblicazione su rivista::01a Articolo in rivista
Metastability in the two-dimensional Ising model with free boundary conditions / Cirillo, Emilio Nicola Maria; J. L., Lebowitz. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 90:1-2(1998), pp. 211-226. [10.1023/a:1023255802455]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/123922
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