Universality in disordered systems: The case of the three-dimensional random-bond Ising model

Abstract

We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed by the same universality class as the site- and bond-diluted models, clearly distinct from that of the pure model, thus providing a complete set of universality in disordered systems.

5 pages, 4 figures, to be published in Phys. Rev. E as a brief report

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Cited by in corpus (14)

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• Wang-Landau study of the 3D Ising model with bond disorder
• Super slowing down in the bond-diluted Ising model
• Critical behavior of weakly disordered Ising model: Six-loop $\sqrt{\epsilon }$ expansion study
• Fluids in porous media: The case of neutral walls
• Finite-temperature avalanches in 2D disordered Ising models
• The Effect of Defects on Magnetic Droplet Nucleation
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
• Continued functions and Borel-Leroy transformation: Resummation of six-loop ε-expansions from different universality classes
• Critical aspects of three-dimensional anisotropic spin-glass models
• Critical behavior of the Ising model on square-triangle tilings
• Emergence of the 3D diluted Ising model universality class in a mixture of two magnets
• Vanadium-doped HfO${}_2$, multiferroic uncompromised
• Universality in the two-dimensional dilute Baxter-Wu model