Barkhausen Noise and Critical Scaling in the Demagnetization Curve

Abstract

The demagnetization curve, or initial magnetization curve, is studied by examining the embedded Barkhausen noise using the non-equilibrium, zero temperature random-field Ising model. The demagnetization curve is found to reflect the critical point seen as the system's disorder is changed. Critical scaling is found for avalanche sizes and the size and number of spanning avalanches. The critical exponents are derived from those related to the saturation loop and subloops. Finally, the behavior in the presence of long range demagnetizing fields is discussed. Results are presented for simulations of up to one million spins.

4 pages, 4 figures, submitted to Physical Review Letters

References in corpus (11)

• Crackling Noise
• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect
• Avalanches, Barkhausen Noise, and Plain Old Criticality
• Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• Noise in disordered systems: The power spectrum and dynamic exponents in avalanche models
• Dynamics of a ferromagnetic domain wall and the Barkhausen effect
• Low field hysteresis in disordered ferromagnets
• Rayleigh loops in the random-field Ising model on the Bethe lattice
• Microscopic foundations of the Rayleigh law of hysteresis

Cited by in corpus (12)

• Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
• Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• Unexpected universality in static and dynamic avalanches
• Random Field Ising Model In and Out of Equilibrium
• Phase transitions in a disordered system in and out of equilibrium
• Ground state optimization and hysteretic demagnetization: the random-field Ising model
• A universal form of slow dynamics in zero-temperature random-field Ising model
• Same universality class for the critical behavior in and out of equilibrium in a quenched random field
• History-Induced Critical Behavior in Disordered Systems
• Direct Measurement of Random Fields in the $LiH{o}_x{Y}_{1-x}{F}_4$ Crystal
• Critical fluctuations of time-dependent magnetization in a random-field Ising model