TAP Spin Glass

Thouless-Anderson-Palmer equations — mean-field spin glass with Onsager reaction term

Parameters

Observables

Free energy F
Order param q
Magnetization m
TAP iterations0
Convergence

Theory

mᵢ = tanh(β Σⱼ Jᵢⱼmⱼ + βhᵢ - β²(1−q)mᵢ)
q = (1/N) Σᵢ mᵢ²
F = -½β Σᵢⱼ Jᵢⱼmᵢmⱼ − S
Onsager term: β²(1−q)mᵢ