Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect
arXiv:cond-mat/9803253 · doi:10.1103/PhysRevB.58.6353
Abstract
We study the dynamics of a ferromagnetic domain wall driven by an external magnetic field through a disordered medium. The avalanche-like motion of the domain walls between pinned configurations produces a noise known as the Barkhausen effect. We discuss experimental results on soft ferromagnetic materials, with reference to the domain structure and the sample geometry, and report Barkhausen noise measurements on FeCoB amorphous alloy. We construct an equation of motion for a flexible domain wall, which displays a depinning transition as the field is increased. The long-range dipolar interactions are shown to set the upper critical dimension to , which implies that mean-field exponents (with possible logarithmic correction) are expected to describe the Barkhausen effect. We introduce a mean-field infinite-range model and show that it is equivalent to a previously introduced single-degree-of-freedom model, known to reproduce several experimental results. We numerically simulate the equation in , confirming the theoretical predictions. We compute the avalanche distributions as a function of the field driving rate and the intensity of the demagnetizing field. The scaling exponents change linearly with the driving rate, while the cutoff of the distribution is determined by the demagnetizing field, in remarkable agreement with experiments.
17 RevTeX pages, 19 embedded ps figures + 1 extra figure, submitted to Phys. Rev. B
References in corpus (15)
- Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
- Avalanches, Barkhausen Noise, and Plain Old Criticality
- Statistics of Earthquakes in Simple Models of Heterogeneous Faults
- Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach
- How self-organized criticality works: A unified mean-field picture
- Self-organized criticality as an absorbing-state phase transition
- Critical Dynamics of Contact Line Depinning
- Driven Interface Depinning in a Disordered Medium
- Dynamics of a ferromagnetic domain wall and the Barkhausen effect
- Order Parameter and Scaling Fields in Self-Organized Criticality
- Self similar Barkhausen noise in magnetic domain wall motion
- Hysteresis Loop Critical Exponents in 6-Epsilon Dimensions
- Thermal Rounding of the Charge Density Wave Depinning Transition
- The Tribology of Sliding Elastic Media
- Static and Dynamic Properties of Inhomogeneous Elastic Media on Disordered Substrate
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- From microstructural features to effective toughness in disordered brittle solids
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