Interpretation of the magnetic susceptibility behaviour of soft carbon steels based on the scaling theory of second order phase transitions for systems with supercritical disorder

A. Skarlatos (1) , A. Martínez-De-Guerenu (2) , D.J. Badiola (2) , I. Lelidis (3)

1 LSME (CEA, LIST) - Laboratoire de Simulation et de Modélisation Électromagnétique (CEA, LIST)
2 BRTA - Basque Research and Technology Alliance
3 NKUA - National and Kapodistrian University of Athens

The experimental magnetic susceptibility curves of several soft steel grades, like interstitial free (IF) or low carbon (LC) steels, can be interpreted within the framework of universal scaling functions obtained for systems with quenched disorder, such as the one described by the random field Ising model with supercritical disorder. Mean-field theory (both scalar and site-dependent) is used to explore the behaviour at the proximity of the coercive field, and explicit expressions are derived. As a result, the susceptibility values close to the coercive field can be approximated to a good extend by a Lorentzian function. Theoretical results are compared against a number of experimental curves obtained from interstitial free (IF) and extra low carbon (ELC) steels subjected to isothermal annealing.

Mots clés: random field Ising model; Lorentz function; magnetic susceptibility; isothermal annealing; recovery process

Domaines: Science des matériaux [cond-mat.mtrl-sci]; Mécanique statistique [cond-mat.stat-mech]

A. Skarlatos, A. Martínez-De-Guerenu, D.J. Badiola, I. Lelidis. Interpretation of the magnetic susceptibility behaviour of soft carbon steels based on the scaling theory of second order phase transitions for systems with supercritical disorder. Journal of Magnetism and Magnetic Materials, 2022, 555, pp.169265. ⟨10.1016/j.jmmm.2022.169265⟩. ⟨cea-04129744⟩