Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions

Abstract

We study a quasi-statically driven random field Ising model (RFIM) at zero temperature with interactions mediated by the long-range anisotropic Eshelby kernel. Analogously to amorphous solids at their yielding transition, and differently from ferromagnetic and dipolar RFIMs, the model shows a discontinuous magnetization jump associated with the appearance of a band-like structure for weak disorder and a continuous magnetization growth, yet punctuated by avalanches, for strong disorder. Through a finite-size scaling analysis in 2 and 3 dimensions we find that the two regimes are separated by a finite-disorder critical point which we characterize. We discuss similarities and differences between the present model and models of sheared amorphous solids.

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Cited by in corpus (4)

• Yielding and plasticity in amorphous solids
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Yielding in dense active matter
• Discontinuity in the distribution of field increments between avalanches in non-abelian random field Blume-Emery-Griffiths model with no passing violation