Advanced search
1 file | 273.53 KB Add to list

A mesoscopic hysteresis model based on the unconstrained minimization of the Gibbs free energy

(2010) IEEE TRANSACTIONS ON MAGNETICS. 46(2). p.220-223
Author
Organization
Abstract
Mesoscopic hysteresis models are based on a simplified description of the micromagnetic theory in order to simulate magnetization processes on the magnetic domain space scale. Hence, these models are situated between the micromagnetic and macroscopic models. In the presented mesoscopic description, the local magnetization is assumed to be aligned with either the cubic anisotropy axes or with the applied field. In this framework, the magnetization dynamics result from a constrained minimization of the Gibbs free energy. The numerical solution of this constrained minimization problem is highly time consuming. This paper presents a remapping of the model variables, which transforms the constrained minimization problem to an unconstrained problem and consequently results in a speed up and stabilization of the numerical scheme. Moreover, a model parameter analysis is carried out to further optimize the computational burden of the presented unconstrained procedure.
Keywords
micromagnetics, Mesoscopic hysteresis model, FERROMAGNETIC HYSTERESIS

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 273.53 KB

Citation

Please use this url to cite or link to this publication:

MLA
van den Berg, Adinda et al. “A Mesoscopic Hysteresis Model Based on the Unconstrained Minimization of the Gibbs Free Energy.” IEEE TRANSACTIONS ON MAGNETICS 46.2 (2010): 220–223. Print.
APA
van den Berg, A., Dupré, L., Van de Wiele, B., & Crevecoeur, G. (2010). A mesoscopic hysteresis model based on the unconstrained minimization of the Gibbs free energy. IEEE TRANSACTIONS ON MAGNETICS, 46(2), 220–223. Presented at the 19th International Conference on Soft Magnetic Materials.
Chicago author-date
van den Berg, Adinda, Luc Dupré, Ben Van de Wiele, and Guillaume Crevecoeur. 2010. “A Mesoscopic Hysteresis Model Based on the Unconstrained Minimization of the Gibbs Free Energy.” Ieee Transactions on Magnetics 46 (2): 220–223.
Chicago author-date (all authors)
van den Berg, Adinda, Luc Dupré, Ben Van de Wiele, and Guillaume Crevecoeur. 2010. “A Mesoscopic Hysteresis Model Based on the Unconstrained Minimization of the Gibbs Free Energy.” Ieee Transactions on Magnetics 46 (2): 220–223.
Vancouver
1.
van den Berg A, Dupré L, Van de Wiele B, Crevecoeur G. A mesoscopic hysteresis model based on the unconstrained minimization of the Gibbs free energy. IEEE TRANSACTIONS ON MAGNETICS. 2010;46(2):220–3.
IEEE
[1]
A. van den Berg, L. Dupré, B. Van de Wiele, and G. Crevecoeur, “A mesoscopic hysteresis model based on the unconstrained minimization of the Gibbs free energy,” IEEE TRANSACTIONS ON MAGNETICS, vol. 46, no. 2, pp. 220–223, 2010.
@article{845460,
  abstract     = {Mesoscopic hysteresis models are based on a simplified description of the micromagnetic theory in order to simulate magnetization processes on the magnetic domain space scale. Hence, these models are situated between the micromagnetic and macroscopic models. In the presented mesoscopic description, the local magnetization is assumed to be aligned with either the cubic anisotropy axes or with the applied field. In this framework, the magnetization dynamics result from a constrained minimization of the Gibbs free energy. The numerical solution of this constrained minimization problem is highly time consuming. This paper presents a remapping of the model variables, which transforms the constrained minimization problem to an unconstrained problem and consequently results in a speed up and stabilization of the numerical scheme. Moreover, a model parameter analysis is carried out to further optimize the computational burden of the presented unconstrained procedure.},
  author       = {van den Berg, Adinda and Dupré, Luc and Van de Wiele, Ben and Crevecoeur, Guillaume},
  issn         = {0018-9464},
  journal      = {IEEE TRANSACTIONS ON MAGNETICS},
  keywords     = {micromagnetics,Mesoscopic hysteresis model,FERROMAGNETIC HYSTERESIS},
  language     = {eng},
  location     = {Turin, Italy},
  number       = {2},
  pages        = {220--223},
  title        = {A mesoscopic hysteresis model based on the unconstrained minimization of the Gibbs free energy},
  url          = {http://dx.doi.org/10.1109/TMAG.2009.2031978},
  volume       = {46},
  year         = {2010},
}

Altmetric
View in Altmetric
Web of Science
Times cited: