Preisach Distribution
Controls
Applied H0.00
Magnetization M0.00
Coercivity H_c—
Remanence M_r—
Preisach Model (1935)
Each hysteron i flips up when H > αᵢ and down when H < βᵢ (βᵢ ≤ αᵢ). The distribution P(α,β) on the Preisach plane determines the loop shape.
M(H) = ∫∫ P(α,β)·γ(H) dα dβ
Coercivity = half-width at M=0. Remanence = M at H=0. Loop area = energy dissipated per cycle.
Each hysteron i flips up when H > αᵢ and down when H < βᵢ (βᵢ ≤ αᵢ). The distribution P(α,β) on the Preisach plane determines the loop shape.
M(H) = ∫∫ P(α,β)·γ(H) dα dβ
Coercivity = half-width at M=0. Remanence = M at H=0. Loop area = energy dissipated per cycle.