Skip to main content
Generalized form of anhysteretic magnetization function for Jiles–Atherton theory of hysteresis
Applied Physics Letters (2009)
  • A. Raghunathan, Cardiff University
  • Y. Melikhov, Cardiff University
  • J. E. Snyder, Cardiff University
  • David C. Jiles, Cardiff University
A generalized form of anhysteretic magnetization function to extend Jiles–Atherton theory to different forms of anisotropy has been derived. The general equation for the function has been compared with those of calculations made on the basis of known equations for specific cases: axially anisotropic (one-dimensional), planar anisotropic (two-dimensional), and isotropic (three-dimensional). The Jiles–Atherton model using the proposed functional form of generalized anhysteretic magnetization function for anisotropy dependence has been validated and the necessary equations derived. It has been shown in this work that this functional form of anhysteretic magnetization with necessary boundary conditions can be reduced to the familiar specific model equations in the particular cases.
  • Magnetic anisotropy,
  • Anisotropy,
  • Boundary value problems,
  • Gibbs free energy,
  • Numerical modeling
Publication Date
Publisher Statement
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Applied Physics Letters 95 (2009): 172510 and may be found at
Citation Information
A. Raghunathan, Y. Melikhov, J. E. Snyder and David C. Jiles. "Generalized form of anhysteretic magnetization function for Jiles–Atherton theory of hysteresis" Applied Physics Letters Vol. 95 Iss. 17 (2009)
Available at: