Numerical resolution of the modified Langevin equation using a differential expression: Application to the Jiles magnetostriction law of approach

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• 作者：A. Viana ; J.-L. Coulomb ; L.-L. Rouve ; G. Cauffet
• 关键词：Langevin ; Implicit function theorem ; Differential equation ; Jiles ; Law of approach
• 刊名：Journal of Magnetism and Magnetic Materials
• 出版年：2010
• 出版时间：January 2010
• 年：2010
• 卷：322
• 期：2
• 页码：186-189
• 全文大小：323 K

文摘

The Langevin equation is classically used to model the anhysteretic magnetization curve. A modified version of this equation has been introduced by Jiles to take into account the effects of magnetostriction on the anhysteretic magnetization behavior when a ferromagnetic material undergoes mechanical stresses. The numerical resolution of the modified Langevin equation is usually performed with a root-finding algorithm. In this paper, a differential form of the modified Langevin equation is proposed, allowing a faster numerical resolution.