Crossover from three-dimensional to two-dimensional systems in the nonequilibrium zero-temperature random-field Ising model

Djordje Spasojević, Svetislav Mijatović, Víctor Navas-Portella, Eduard Vives

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Resum

We present extensive numerical studies of the crossover from three-dimensional to two-dimensional systems in the nonequilibrium zero-temperature random-field Ising model with metastable dynamics. Bivariate finite-size scaling hypotheses are presented for systems with sizes L×L×l which explain the size-driven critical crossover from two dimensions (l=const, L→) to three dimensions (L→). A model of effective critical disorder Rceff(l,L) with a unique fitting parameter and no free parameters in the Rceff(l,L→) limit is proposed, together with expressions for the scaling of avalanche distributions bringing important implications for related experimental data analysis, especially in the case of thin three-dimensional systems.

Idioma originalAnglès
Número d’article012109
RevistaPhysical Review E
Volum97
Número1
DOIs
Estat de la publicacióPublicada - 10 de gen. 2018
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