# An extended model of the Barkhausen effect based on the ABBM model

## Abstract

The Barkhausen model of Alessandro et al. [J. Appl. Phys. 68, 2901 (1990)] has been extended to nonstationary domain wall dynamics. The assumptions of the original model limit, its use to situations where the differential permeability, and time derivative of applied field are constant. The later model of Jiles et al. assumes that the Barkhausen activity in a given time interval is proportional to the rate of change of irreversible magnetization which can be calculated from hysteresis models. The extended model presented here incorporates ideas from both of these. It assumes that the pinning field and domain wall velocity behave according to the Alessandro model, but allows the rate of change of the magnetic flux to vary around a moving average which is determined by the shape of the hysteresis curve and the applied magnetic field wave form. As a result, the new model allows for changes in permeability with applied field and can also reproduce the frequency response of experimental Barkhausen signals. (c) 2000 American Institute of Physics.

- Authors:

- Ames Laboratory and Center for Nondestructive Evaluation, Iowa State University, Ames, Iowa 50011 (United States)

- Publication Date:

- OSTI Identifier:
- 20216211

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Applied Physics

- Additional Journal Information:
- Journal Volume: 87; Journal Issue: 9; Other Information: PBD: 1 May 2000; Journal ID: ISSN 0021-8979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; MAGNETIZATION; HYSTERESIS; DOMAIN STRUCTURE; IRREVERSIBLE PROCESSES; MAGNETIC FLUX; PERMEABILITY; THEORETICAL DATA

### Citation Formats

```
Clatterbuck, D. M., Garcia, V. J., Johnson, M. J., and Jiles, D. C.
```*An extended model of the Barkhausen effect based on the ABBM model*. United States: N. p., 2000.
Web. doi:10.1063/1.373154.

```
Clatterbuck, D. M., Garcia, V. J., Johnson, M. J., & Jiles, D. C.
```*An extended model of the Barkhausen effect based on the ABBM model*. United States. doi:10.1063/1.373154.

```
Clatterbuck, D. M., Garcia, V. J., Johnson, M. J., and Jiles, D. C. Mon .
"An extended model of the Barkhausen effect based on the ABBM model". United States. doi:10.1063/1.373154.
```

```
@article{osti_20216211,
```

title = {An extended model of the Barkhausen effect based on the ABBM model},

author = {Clatterbuck, D. M. and Garcia, V. J. and Johnson, M. J. and Jiles, D. C.},

abstractNote = {The Barkhausen model of Alessandro et al. [J. Appl. Phys. 68, 2901 (1990)] has been extended to nonstationary domain wall dynamics. The assumptions of the original model limit, its use to situations where the differential permeability, and time derivative of applied field are constant. The later model of Jiles et al. assumes that the Barkhausen activity in a given time interval is proportional to the rate of change of irreversible magnetization which can be calculated from hysteresis models. The extended model presented here incorporates ideas from both of these. It assumes that the pinning field and domain wall velocity behave according to the Alessandro model, but allows the rate of change of the magnetic flux to vary around a moving average which is determined by the shape of the hysteresis curve and the applied magnetic field wave form. As a result, the new model allows for changes in permeability with applied field and can also reproduce the frequency response of experimental Barkhausen signals. (c) 2000 American Institute of Physics.},

doi = {10.1063/1.373154},

journal = {Journal of Applied Physics},

issn = {0021-8979},

number = 9,

volume = 87,

place = {United States},

year = {2000},

month = {5}

}