Crooks 1999: P_F(W)/P_R(-W) = exp(β(W - ΔF)) — forward/reverse work-PDF ratio

Layer 1 — Physicsin the quantum-thermodynamics subtree

Crooks 1999 fluctuation theorem (PRE 60:2721) — stronger statement than Jarzynski. For a system driven by a time-dependent protocol λ(t) (forward) or the time-reversed protocol λ(-t) (reverse), with both starting from canonical…

Related concepts

Jarzynski 1997: ⟨exp(-βW)⟩ = exp(-βΔF) — non-equilibrium avg recovers equilibrium ΔF
Crooks ratio: [P_F(W)/P_R(-W)]·exp(-β(W-ΔF)) = 1 — identity along entire W axis

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