Nonequilibrium random-field Ising model on a diluted triangular lattice

Abstract

We study critical hysteresis in the random-field Ising model (RFIM) on a two-dimensional periodic lattice with a variable coordination number $z_{eff}$ in the range $3\le z_{eff}\le 6$. We find that the model supports critical behavior in the range $4<z_{eff}\le 6$, but the critical exponents are independent of $z_{eff}$. The result is discussed in the context of the universality of nonequilibrium critical phenomena and extant results in the field.

12 pages, 10 figures, to be published in Phys Rev E

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Cited by in corpus (9)

• Criticality of the random field Ising model in and out of equilibrium: a nonperturbative functional renormalization group description
• Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination number
• Statistical Mechanics of Avalanches
• Weird scaling for 2-D avalanches: Curing the faceting, and scaling in the lower critical dimension
• Universality of critically pinned interfaces in 2-dimensional isotropic random media
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Critical hysteresis on dilute triangular lattice
• The effects of external noise on threshold induced correlations in ferromagnetic systems
• Understanding jump discontinuity in disordered system