Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/535
Title: Crossover from three-dimensional to two-dimensional systems in the nonequilibrium zero-temperature random-field Ising model
Authors: Spasojević, Djordje 
Mijatović, Svetislav 
Navas-Portella, Víctor
Vives, Eduard
Issue Date: Jan-2018
Journal: Physical review. E
Abstract: 
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∝L→∞). A model of effective critical disorder R_{c}^{eff}(l,L) with a unique fitting parameter and no free parameters in the R_{c}^{eff}(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.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/535
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.97.012109
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