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Magnetization reversal in particulate recording media

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Mathematics in Industrial Problems

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 57))

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Abstract

Magnetization is a material property traced to the spin motion of electrons. Magnetic particles are used in making magnetic tapes and disks for recording media; such particles are suspended in a binder and then painted onto the substrate (a film or a disk). Micromagnetics deals with magnetic phenomena at the “intermediate” scale, which includes such small particles as used in recording media. In micromagnetic phenomena at the scale of 0.01μm to 10μm, domains and domain-walls play a fundamental role in the model; these were described in [1]; the particles which will be considered in the present chapter are smaller, and do not support domain walls. On September 25, 1992 T. R. Hoffend, Jr. from 3M presented ongoing work [2] on micromagnetics based, vector hysteresis model for studying the collective effect of particle interaction and non uniformities on magnetization reversal processes in particulate recording media. The motivation for this work is to understand the link between single particle properties and ensemble properties and, in particular, to investigate the origins of measured differences in the response of various types of particulate recording media. He described the model, consisting of a coupled system of Landau—Lifshitz equations, and then presented some numerical results and posed open problems.

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References

  1. A. Friedman, Mathematics in Industrial Problems, Part 5, IMA Volume 49, Springer-Verlag, New York (1992).

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  2. T.R. Hoffend, Jr., Foundations of the Landau—Lifshitz model and related numerical algorithms for study of magnetization reversal in particulate recording media, in preparation.

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  3. A. Friedman, Mathematics in Industrial Problems, Part 2, IMA Volume 24, Springer-Verlag, New York (1989).

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  4. A.H. Morrish, The Physical Principles of Magnetism, John Wiley and sons, New York (1965).

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  5. E.T. Wittaker, A Treatise of the Analytical Dynamics of Particles and Rigid Bodies, 4th ed., Cambridge University Press, Cambridge (1965).

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  6. T.L. Gilbert, A Lagrangian formulation of the gyromagnetic equation of the magnetization field, Paper presented at 1955 Chicago Mtg./ Univ. of Chicago, Phys. Review, 100 (1955), 1243.

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  7. J.G. Zhu, Interactive Phenomena in Magnetic Thin Films, Ph.D. Thesis, Univ. of Calif. San Diego (1989).

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© 1994 Springer-Verlag New York, Inc.

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Friedman, A. (1994). Magnetization reversal in particulate recording media. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8383-3_1

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  • DOI: https://doi.org/10.1007/978-1-4613-8383-3_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8385-7

  • Online ISBN: 978-1-4613-8383-3

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