Phase transitions in a disordered system in and out of equilibrium

Abstract

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground state (GS), and present evidence of universality. Numerical simulations in d=3 indicate that exponents and scaling functions coincide, while the location of the critical point differs, as corroborated by exact results for the Bethe lattice. These results are of relevance for optimization, and for the generic question of universality in the presence of disorder.

arXiv commentAccepted for publication in Phys. Rev. Lett

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• A universal form of slow dynamics in zero-temperature random-field Ising model
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• Equations of motion approach to the spin-1/2 Ising model on the Bethe lattice
• Characterization of kinetic coarsening in a random-field Ising model
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• Same universality class for the critical behavior in and out of equilibrium in a quenched random field
• Weird scaling for 2-D avalanches: Curing the faceting, and scaling in the lower critical dimension
• Quasi-stationary criticality of the Order-Parameter of the d=3 Random-Field Ising Antiferromagnet Fe(0.85)Zn(0.15)F2: A Synchrotron X-ray Scattering Study
• Low-energy excitations in the three-dimensional random-field Ising model
• Crackling Noise and Avalanches: Scaling, Critical Phenomena, and the Renormalization Group
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