The analysis of an artificial medium has led to a new type of Preisach
model where the variance of the interaction field is a function of th
e magnetization. The ''ideal'' particles of this medium have no revers
ible magnetization and only interact magnetostatically with their neig
hbor. In this model, the line separating the Positively and the negati
vely magnetized regions of the Preisach plane is not a staircase.