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Size-dependence of relaxation in random-field Ising model

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Zeitschrift für Physik B Condensed Matter

Abstract

Monte Carlo simulations were made of two- and three-dimensional Ising models containing up to 1503 and 13952 sites in a randomly oriented field ±H. A spontaneous magnetization was observed to build up at low enough temperatures, even if initially the spins were disordered. The time required for this build-up was observed to increase with some power of the system size for short times, and possibly exponentially with the square root of the length for larger times.

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Dedicated to B. Mühlschlegel on the occasion of his 60th birthday

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Chowdhury, D., Stauffer, D. Size-dependence of relaxation in random-field Ising model. Z. Physik B - Condensed Matter 60, 249–253 (1985). https://doi.org/10.1007/BF01304445

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  • DOI: https://doi.org/10.1007/BF01304445

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