Critical hysteresis on dilute triangular lattice

Abstract

Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice has been studied earlier with site dilution on one sublattice. It was reported that criticality vanishes if less than one third of the sublattice is occupied. This appears at variance with recently obtained exact solutions of the model on dilute Bethe lattices and prompts us to revisit the problem using an alternate numerical method. Contrary to our speculation that criticality may not be exactly zero below one third dilution, the present study indicates it is nearly zero if approximately less than two-thirds of the sublattice is occupied. This suggests that hysteresis on dilute periodic lattices is qualitatively different from that on dilute Bethe lattices. Possible reasons are discussed briefly.

Replaced with published version (11 pages, 8 figures)

References in corpus (12)

• Crackling Noise
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• Zero-temperature Hysteresis in Random-field Ising Model on a Bethe Lattice
• Hysteresis in the Random Field Ising Model and Bootstrap Percolation
• Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination number
• Nonequilibrium random-field Ising model on a diluted triangular lattice
• Effect of Coordination Number on Nonequilibrium Critical Point
• Statistical Mechanics of Avalanches
• Mechanisms of evolution of avalanches in regular graphs
• Hysteresis in the zero-temperature random field Ising model on directed random graphs
• Hysteresis in the Ising model with Glauber dynamics

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