2001/06/30 by Lorenzo Dante, Gianfranco Durin, Alessandro Magni +1 · 1 citation
Materials Science · Physics and Astronomy · #Magnetic Properties and Applications #Magnetic properties of thin films #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.65.144441
published as Phys. Rev. B 65, 144441 (2002) · Extended version, 18 pages, 5 figures, to appear in Phys. Rev. B
arxiv created 2002/01/07 · openalex publication_date 2002/04/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze low-field hysteresis close to the demagnetized state in disordered ferromagnets using the zero-temperature random-field Ising model. We solve the demagnetization process exactly in one dimension and derive the Rayleigh law of hysteresis. The initial susceptibility a and the hysteretic coefficient b display a peak as a function of the disorder width. This behavior is confirmed by numerical simulations d=2,3 showing that in the limit of weak disorder demagnetization is not possible and the Rayleigh law is not defined. These results are in agreement with experimental observations on nanocrystalline magnetic materials.