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Random-Field Ising Models of Hysteresis

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arxiv cond-mat/0406320 v3 pith:2P6UYYH6 submitted 2004-06-14 cond-mat.mtrl-sci

classification cond-mat.mtrl-sci
keywords avalanchehysteresisanalyticalapplicationsarticleavalanchesaveragebarkhausen
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This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions, correlation functions, magnetization, avalanche durations and average avalanche shapes, and power spectra. We focus here on applications to magnetic Barkhausen noise.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Preisach Attention: A Hysteretic Model of Sequential Memory

    cs.LG 2026-05 unverdicted novelty 8.0 of 10

    PAL uses the classical Preisach hysteresis operator with learned thresholds and an extrema stack to model sequences, proving O(1)-depth Turing completeness via two-stack PDA simulation and incomparability with standar...

  2. Barkhausen noise in the organic ferroelectric copolymer P(VDF:TrFE)

    cond-mat.mtrl-sci 2024-12 conditional novelty 7.0 of 10

    Barkhausen noise during polarization switching in P(VDF:TrFE) follows power-law size distributions with exponents that rise with applied field, fall with longer rise times, and approach the mean-field value of 1.5 for...

  3. A Critical Assessment of the Brain Criticality Hypothesis

    physics.bio-ph 2026-04 unverdicted novelty 6.0 of 10

    Slow metabolic resources acting as memory may generate scale-invariant neural correlations without requiring proximity to a critical point.

  4. Barkhausen noise in the columnar hexagonal organic ferroelectric BTA

    cond-mat.mtrl-sci 2024-12 conditional novelty 6.0 of 10

    Kinetic Monte Carlo simulations of the organic ferroelectric BTA predict power-law distributed dipole avalanches and self-organized criticality below about 175 K, while measured current noise in BTA films stays below ...

  5. Towards personalised intervention: A causal-dynamical framework to determine psychological treatment trajectories

    nlin.AO 2026-06 unverdicted novelty 5.0 of 10

    Proposes a causal-dynamical framework that constructs causal graphs from longitudinal patient data, simulates intervention effects, and selects personalized treatment focuses for mental health care.

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