Crooks Fluctuation Theorem
PROTOCOL
Free energy ΔF
2.00
Protocol speed τ⁻¹
1.00
Temperature β⁻¹
1.00
Samples N
5000
Run Simulation
Auto (running)
RESULTS
⟨W⟩_fwd:
—
⟨W⟩_rev:
—
ΔF (Jarzynski):
—
Crossing W*:
—
Ratio at W*:
—
CFT
P_F(W) / P_R(−W) = e^{β(W−ΔF)}
At crossing W*=ΔF:
P_F(ΔF) = P_R(−ΔF)
Jarzynski equality:
⟨e^{−βW}⟩_F = e^{−βΔF}
⟨W⟩_F ≥ ΔF (2nd law)
Crooks gives full distribution,
not just the average.