Discontinuity in the distribution of field increments between avalanches in non-abelian random field Blume-Emery-Griffiths model with no passing violation

2025/07/16 by E, Aldrin B, Rosso, Alberto, Sumedha
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2507.12375

Abstract

We study the zero-temperature quasi-statically driven dynamics of the random field Blume-Emery-Griffiths model (RFBEGM) as a prototype for disordered systems with competing interactions. While the random field Ising model is known to obey the no-passing rule we show that this property is generically violated in the RFBEGM. By exploring the full parameter space, we identify the precise conditions under which no-passing is broken, particularly in the regime where a repulsive biquadratic coupling introduces frustration. Here, we find that this violation leaves a clear fingerprint in the form of a discontinuity in the distribution of the field increments between successive avalanches. We provide analytical arguments that locate the onset of this discontinuity, in excellent agreement with numerical simulations.

Citations

• Discontinuous depinning/yielding transition of elastic manifolds with tailored internal elasticity
• Yielding and plasticity in amorphous solids
• Statistical modeling of adaptive neural networks explains coexistence of avalanches and oscillations in resting human brain
• Random-Field Ising Models of Hysteresis
• Seismicity of the Earth and Associated Phenomena

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