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.

References in corpus (31)

• Crackling Noise
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Amorphous Systems in Athermal, Quasistatic Shear
• Statistical Models of Fracture
• Collective Transport: From Superconductors to Earthquakes
• Modeling the mechanics of amorphous solids at different length and time scales
• A random critical point separates brittle and ductile yielding transitions in amorphous materials
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids
• Marginal Stability in Structural, Spin and Electron Glasses
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• From damage percolation to crack nucleation through finite size criticality
• On the density of shear transformation zones in amorphous solids
• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
• Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
• Deformation of crystals: Connections with statistical physics
• Avalanche localization and crossover scaling in amorphous plasticity
• Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
• Ductile and brittle yielding in thermal and athermal amorphous materials
• Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• The effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible
• Role of fluctuations in the yielding transition of two-dimensional glasses
• Notch fracture toughness of glasses: Rate, age and geometry dependence
• Hysteresis properties at zero temperature in the Dipolar-Random Field Ising Model
• Rigidity-Controlled Crossover: From Spinodal to Critical Failure
• Finite-disorder critical point in the yielding transition of elasto-plastic models
• Yielding, shear banding and brittle failure of amorphous materials
• Weird scaling for 2-D avalanches: Curing the faceting, and scaling in the lower critical dimension
• Hysteresis in Anti-Ferromagnetic Random-Field Ising Model at Zero Temperature
• Gaps between avalanches in 1D Random Field Ising Models

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