Extracting work from a single reservoir in the non-Markovian underdamped regime
arXiv:1608.04583 · doi:10.1103/PhysRevE.94.062111
Abstract
We derive optimal-work finite time protocols for a colloidal particle in a Gaussian well in the general non-Markovian underdamped regime in contact with a single reservoir. Optimal work protocols with and without measurements of position and velocity are shown to be linear in time. In order to treat the underdamped regime one must address forcing the particle at the start and at the end of a protocol, conditions which dominate the short time behaviour of the colloidal particle. We find that for protocols without measurement the least work by an external agent decreases linearly for forced start-stop conditions while those only forced at starting conditions are quadratic (slower) at short times, while both decrease asymptotically to zero for quais-static processes. When measurements are performed protocols with start-end forcing are still more efficient at short times but can be overtaken by start-only protocols at a threshold time. Measurement protocols derive work from the reservoir but always below the predicted by the Sagawa's generalization of the second law. Velocity measurement protocols are more efficient in deriving work than position measurements.
arXiv comment10 pages, 7 figures
References in corpus (23)
- A nonequilibrium equality for free energy differences
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Information heat engine: converting information to energy by feedback control
- Path ensembles averages in systems driven far-from-equilibrium
- The Physics of Maxwell's demon and information
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Dissipation: The phase-space perspective
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Measuring thermodynamic length
- Optimal finite-time processes in stochastic thermodynamics
- Feedback cooling of a cantilever's fundamental mode below 5 mK
- Thermodynamic metrics and optimal paths
- Extracting work from a single heat bath through feedback
- Thermodynamics of feedback controlled systems
- Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
- Non-equilibrium work fluctuations for oscillators in non-Markovian baths
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- Fluctuation theorems for harmonic oscillators
- Efficiency of a Brownian information machine
- Fluctuations of the total entropy production in stochastic systems
- Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
- The generalized Langevin equation revisited: Analytical expressions for the persistence dynamics of a viscous fluid under a time dependent external force