Crooks ratio: [P_F(W)/P_R(-W)]·exp(-β(W-ΔF)) = 1 — identity along entire W axis

Restatement of the Crooks fluctuation theorem as an identity along the entire work axis: whenever both P_F and P_R are non-zero, [P_F(W)/P_R(-W)]·exp(-β(W-ΔF)) ≡ 1 ⇔ ln[P_F(W)/P_R(-W)] = β(W-ΔF). Consequences: (i) plotting ln[P_F/P_R]…