Introducing one-shot work into fluctuation relations

Understand

Two approaches to small-scale and quantum thermodynamics are fluctuation relations and one-shot statistical mechanics.

• Fluctuation relations (such as Crooks' Theorem and Jarzynski's Equality) relate nonequilibrium behaviors to equilibrium quantities such as free energy.
• One-shot statistical mechanics involves statements about every run of an experiment, not just about averages over trials.
• We investigate the relation between the two approaches.