Thermal vestiges of avalanches in the driven random field Ising model

Abstract

We investigate the non-equilibrium behavior of the $3d$ random field Ising model at finite temperature, as an external field is increased through its coercive field. We show by numerical simulations that the phenomenology of avalanches -- which are sharply defined only at zero temperature -- also persists over a significant range of finite temperatures. We analyse the main differences between the thermal and zero-temperature systems, including an excess of small avalanches in the thermal case, whose behaviour is consistent with activated dynamical scaling. We also investigate the extent to which individual avalanches at finite temperature can be traced back to parent avalanches in the athermal system.

16 pages

References in corpus (6)

• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Evidence for Supersymmetry in the Random-Field Ising Model at D = 5
• The fate of Parisi-Sourlas supersymmetry in Random Field models
• Experimental Realization of the 1D Random Field Ising Model
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Cited by in corpus (4)

• Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids
• Jamming is a first-order transition with quenched disorder in amorphous materials sheared by cyclic quasistatic deformations
• Heterogeneous nucleation in the random field Ising model
• Discontinuity in the distribution of field increments between avalanches in non-abelian random field Blume-Emery-Griffiths model with no passing violation