Optimal finite-time processes in stochastic thermodynamics

Abstract

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to another in a finite time. In general, this optimal protocol obeys an integro-differential equation. Explicite solutions both for a moving laser trap and a time-dependent strength of such a trap show finite jumps of the optimal protocol to be typical both at the beginning and the end of the process.

4 pages, 1 figure, accepted for publication in Phys. Rev. Lett

References in corpus (14)

• A nonequilibrium equality for free energy differences
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Path ensembles averages in systems driven far-from-equilibrium
• Steady State Thermodynamics of Langevin Systems
• The Nonequilibrium Thermodynamics of Small Systems
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Rare events and the convergence of exponentially averaged work values
• Integral fluctuation theorem for the housekeeping heat
• A "fast growth" method of computing free energy differences
• Comparison of free energy methods for molecular systems
• Single-ensemble nonequilibrium path-sampling estimates of free energy differences
• Equilibrium free energies from fast-switching trajectories with large time steps
• Work probability distribution in single molecule experiments

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