Preisach Hysteresis Model

Ferromagnetic memory — superposition of elementary hysterons

Parameters

State

Field H
Magnetization M
Remanence M_r
Coercivity H_c*

Theory

M(H) = ∫∫ μ(α,β) γ̂_{αβ}[H] dαdβ
Hysteron: γ̂_{αβ} = ±1 (α < β)
μ(α,β) = Preisach density
Memory: staircase boundary in (α,β) plane