Abstract
Simulating an Ising model, up to sizes 150×150×150 in three and 225×225 in two dimensions, in a random field of strength ±H, we find a magnetization slowly decreasing with time if initially all spins are parallel. This decay is extremely slow for small random fields, so that a stable magnetization cannot be excluded. Below some “freezing” temperature, the system remains a single domain, with a finite magnetization in both two and three dimensions. If instead the system is cooled down in a constant random field, from temperatures above to temperatures below this freezing transition, then at the lower temperature the magnetization increases with time; this increase is very slow for large systems, with similar results in two and three dimensions.
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Stauffer, D., Hartzstein, C., Binder, K. et al. Monte Carlo evidence of non-equilibrium effects for ising model in a random field. Z. Physik B - Condensed Matter 55, 325–333 (1984). https://doi.org/10.1007/BF01304084
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DOI: https://doi.org/10.1007/BF01304084