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arXiv · 2309.14919

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

Saverio Rossi·Giulio Biroli·Misaki Ozawa·Gilles Tarjus
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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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Saverio Rossi, Giulio Biroli, Misaki Ozawa, Gilles Tarjus. 2023-09-26. Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions. https://doi.org/10.1103/physrevb.108.l220202

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