Application of the Maximum relative Entropy method to the physics of ferromagnetic materials

TL;DR

This paper applies the Maximum relative Entropy method to infer magnetic properties of ferromagnetic materials, comparing it with traditional models and exploring its effectiveness on defective materials.

Contribution

It introduces the use of the MrE method for analyzing ferromagnetic materials, including those with defects, offering a new inference approach in this domain.

Findings

MrE method effectively infers magnetic properties.

Comparison shows advantages over traditional models.

Successful application to defective ferromagnetic materials.

Abstract

It is known that the Maximum relative Entropy (MrE) method can be used to both update and approximate probability distributions functions in statistical inference problems. In this manuscript, we apply the MrE method to infer magnetic properties of ferromagnetic materials. In addition to comparing our approach to more traditional methodologies based upon the Ising model and Mean Field Theory, we also test the effectiveness of the MrE method on conventionally unexplored ferromagnetic materials with defects.