Recent progress in fluctuation theorems and free energy recovery

Abstract

In this note we review recent progress about fluctuation relations and their applicability to free energy recovery in single molecule experiments. We underline the importance of the operational definition for the mechanical work and the non-invariance of fluctuation relations under Galilean transformations, both aspects currently amenable to experimental test. Finally we describe a generalization of the Crooks fluctuation relation useful to recover free energies of partially equilibrated states and thermodynamic branches.

15 pages, 8 figures

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• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Single-molecule derivation of salt dependent base-pair free energies in DNA
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• Optimized free energies from bidirectional single-molecule force spectroscopy
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Cited by in corpus (12)

• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Meaning of temperature in different thermostatistical ensembles
• Heat release by controlled continuous-time Markov jump processes
• Normal and Anomalous Fluctuation Relations for Gaussian Stochastic Dynamics
• On extremals of the entropy production by "Langevin-Kramers" dynamics
• An application of Pontryagin's principle to Brownian particle engineered equilibration
• Work, free energy and dissipation in voltage driven single-electron transitions
• Dynamics and energetics of a molecular zipper under external driving
• Asymptotic work distributions in driven bistable systems
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
• Experimentally accessible measurement of irreversibility in stochastic systems by categorizing single-molecule displacements