Effect of Coordination Number on Nonequilibrium Critical Point

Abstract

We study the nonequilibrium critical point of the zero temperature random field Ising model on a triangular lattice and compare it with known results on honeycomb, square, and simple cubic lattices. We suggest that the coordination number of the lattice rather than its dimension plays the key role in determining the universality class of the nonequilibrium critical behavior. This is discussed in the context of numerical evidence that equilibrium and nonequilibrium critical points of the zero-temperature random field Ising model belong to the same universality class. The physics of this curious result is not fully understood.

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• Unexpected universality in static and dynamic avalanches
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Cited by in corpus (9)

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• Nonequilibrium random-field Ising model on a diluted triangular lattice
• 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
• Critical hysteresis on dilute triangular lattice
• The effects of external noise on threshold induced correlations in ferromagnetic systems
• Standing spin wave mode in RFIM at T=0: Patterns and nonequilibrium phases
• Understanding jump discontinuity in disordered system