Work probability distribution in single molecule experiments

Abstract

We derive and solve a differential equation satisfied by the probability distribution of the work done on a single biomolecule in a mechanical unzipping experiment. The unzipping is described as a thermally activated escape process in an energy landscape. The Jarzynski equality is recovered as an identity, independent of the pulling protocol. This approach allows one to evaluate easily, by numerical integration, the work distribution, once a few parameters of the energy landscape are known.

To appear on EPL

References in corpus (7)

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• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• Path ensembles averages in systems driven far-from-equilibrium
• A two-state kinetic model for the unfolding of single molecules by mechanical force
• Dynamic Response of Adhesion Complexes: Beyond the Single-Path Picture
• Effects of intermediate bound states in dynamic force spectroscopy
• Kinetic barriers in RNA unzipping

Cited by in corpus (24)

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• Rare events and the convergence of exponentially averaged work values
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• A charged particle in a magnetic field - Jarzynski Equality
• On the work distribution for the adiabatic compression of a dilute classical gas
• Work probability distribution in systems driven out of equilibrium
• Bayesian estimates of free energies from nonequilibrium work data in the presence of instrument noise
• Entropy production for mechanically or chemically driven biomolecules
• Jarzynski equality for the Jepsen gas
• Work distribution and path integrals in general mean-field systems
• Fluctuations in heat engines
• Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions
• Stochastic resonance and heat fluctuations in a driven double-well system
• Work distribution functions for hysteresis loops in a single-spin system
• Exact Nonequilibrium Work Generating Function for a Small Classical System
• Entropic equality for worst-case work at any protocol speed
• Work and heat probability distributions in out-of-equilibrium systems
• Microcanonical work and fluctuation relations for an open system: An exactly solvable model
• Statistics of work performed by optical tweezers with general time-variation of their stiffness
• Dynamics and energetics of a molecular zipper under external driving
• Work distribution in manipulated single biomolecules
• Nonequilibrium work equalities in isolated quantum systems
• Microscopically Computing Free-energy Profiles and Transition Path Time of Rare Macromolecular Transitions