paper

Same universality class for the critical behavior in and out of equilibrium in a quenched random field

arXiv:1311.1318 · doi:10.1103/PhysRevB.89.104201

Abstract

The random-field Ising model (RFIM) is one of the simplest statistical-mechanical models that captures the anomalous irreversible collective response seen in a wide range of physical, biological, or socio-economic situations in the presence of interactions and intrinsic heterogeneity or disorder. When slowly driven at zero temperature it can display an out-of-equilibrium phase transition associated with critical scaling ("crackling noise"), while it undergoes at equilibrium, under either temperature or disorder-strength changes, a thermodynamic phase transition. We show that the out-of-equilibrium and equilibrium critical behaviors are in the same universality class: they are controlled, in the renormalization-group (RG) sense, by the same zero-temperature fixed point. We do so by combining a field-theoretical formalism that accounts for the multiple metastable states and the exact (functional) RG. As a spin-off, we also demonstrate that critical fluids in disordered porous media are in the same universality class as the RFIM, thereby unifying a broad spectrum of equilibrium and out-of-equilibrium phenomena.

10 pages, 4 figures; The calculation contains an error and the conclusion should be modified: see cond-mat/1710.04032 (or Phys Rev B 97, 094204 (2018)) for details and correction

References in corpus (2)

Cited by in corpus (9)