THERMODYNAMIC UNCERTAINTY

Mean current ⟨J⟩
Variance Var(J)
Entropy prod σ
TUR: Var/⟨J⟩²·σ
TUR (Barato-Seifert 2015):
Var(J)/⟨J⟩² ≥ 2k_B/σ

Ring: k± = k₀ e^{±F/2T}
⟨J⟩ = k₊−k₋
σ = (k₊−k₋)ln(k₊/k₋)
Equality at linear response