Jarzynski Equality — Nonequilibrium Work Theorem

⟨e^(-βW)⟩ = e^(-βΔF). Pulling a particle through a viscous medium: work distributions from many trajectories recover equilibrium free energy differences regardless of protocol speed.

Protocol

Statistics

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⟨W⟩:
ΔF (true):
ΔF (Jarzynski):
Dissipation ⟨W⟩-ΔF:
⟨e-βW⟩ = e-βΔF
ΔF = -β⁻¹ ln⟨e-βW