Hysteretic properties of a two dimensional array of small magnetic particles: a test-bed for the Preisach model

Vértesy, Gábor and Pardavi-Horváth, M. (2005) Hysteretic properties of a two dimensional array of small magnetic particles: a test-bed for the Preisach model. In: Preisach Memorial Book: Hysteresis models in mathematics, physics and engineering. Akadémiai Kiadó, Budapest, pp. 103-119. ISBN 963-05-8264-3

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Abstract

The magnetization process of a regular two-dimensional array of small, strongly uniaxial single domain magnetic garnet particles, groups of particles, and major loop properties of a "macroscopic" sample, has been investigated experimentally and simulated numerically. These particles correspond to the assumptions of a simple Preisach model. The switching mode is by rotation. Each particle has a square hysteresis loop, with no reversible or apparent reversible component. Requirements of wiping-out and congruency properties are satisfied. From measurements of the up- and down switching fields on individual particles, the major loop can be reconstructed, and it is shown to be in in excellent agreement with the measured one. The transition from individual to collective behavior is smooth and the properties of a system, consisting of 100 particles, correspond to the major loop behavior. The numerically simulated major hysteresis loops agree very well with the measured loops, the switching sequence and the magnetization curve for particle assembly was derived from the calculated interaction fields and found to be in a very good agreement with the measured values, demonstrating the reliability of numerical modeling. A new property, not included into the existing models, is the magnetization dependence of the standard deviation of the interaction field.

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