Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
arXiv:2006.09426 · doi:10.1088/1742-5468/abb0e1
Abstract
We analyse non-equilibrium Carnot-like cycles built with a colloidal particle in a harmonic trap, which is immersed in a fluid that acts as a heat bath. Our analysis is carried out in the overdamped regime. The cycle comprises four branches: two isothermal processes and two \textit{locally} adiabatic ones. In the latter, both the temperature of the bath and the stiffness of the harmonic trap vary in time, but in such a way that the average heat vanishes for all times. All branches are swept at a finite rate and, therefore, the corresponding processes are irreversible, not quasi-static. Specifically, we are interested in optimising the heat engine to deliver the maximum power and characterising the corresponding values of the physical parameters. The efficiency at maximum power is shown to be very close to the Curzon-Ahlborn bound over the whole range of the ratio of temperatures of the two thermal baths, pointing to the near optimality of the proposed protocol.
References in corpus (35)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Shortcuts to adiabaticity: concepts, methods, and applications
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Efficiency at maximum power of low dissipation Carnot engines
- Brownian Carnot engine
- Universality of efficiency at maximum power
- Optimal finite-time processes in stochastic thermodynamics
- Thermoelectric efficiency at maximum power in a quantum dot
- The power of a critical heat engine
- Universal trade-off relation between power and efficiency for heat engines
- Optimal protocols and optimal transport in stochastic thermodynamics
- Engineered swift equilibration of a Brownian particle
- Cycling tames power fluctuations near optimum efficiency
- Efficiency statistics at all times: Carnot limit at finite power
- Optimal cycles for low-dissipation heat engines
- Adiabatic processes realized with a trapped Brownian particle
- Shortcuts to isothermality and nonequilibrium work relations
- Maximum Efficiency of Low-Dissipation Heat Engines at Arbitrary Power
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Efficiency fluctuations in microscopic machines
- Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
- Carnot efficiency at divergent power output
- Optimal operating protocol to achieve efficiency at maximum power of heat engines
- Carnot efficiency is reachable in an irreversible process
- Thermal bath Engineering for Swift Equilibration
- Optimal work in a harmonic trap with bounded stiffness
- Constitutive Relation for Nonlinear Response and Universality of Efficiency at Maximum Power for Tight-Coupling Heat Engines
- Boundary layers in stochastic thermodynamics
- Engineered Swift Equilibration for Brownian objects: from underdamped to overdamped dynamics
- Fast forward approach to stochastic heat engine
- Finite-time adiabatic processes: derivation and speed limit
- Entropic anomaly and maximal efficiency of microscopic heat engines
- Attainability of Carnot Efficiency with Autonomous Engines
- True nature of the Curzon-Ahlborn efficiency
- An application of Pontryagin's principle to Brownian particle engineered equilibration
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- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- Geodesic path for the minimal energy cost in shortcuts to isothermality
- Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Optimal finite-time Brownian Carnot engine
- Optimising the relaxation route with optimal control
- Abstract models for heat engines
- Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
- Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
- Thermal brachistochrone for harmonically confined Brownian particles
- Optimal time-entropy bounds and speed limits for Brownian thermal shortcuts
- Solution to the Fokker-Planck equation for slowly driven Brownian motion: Emergent geometry and a formula for the corresponding thermodynamic metric
- Optimizing Brownian heat engine with shortcut strategy
- Achieving Carnot efficiency in a finite-power Brownian Carnot cycle with arbitrary temperature difference
- The Heat Distribution of the Underdamped Langevin Equation
- Equilibrium free energy differences from a linear nonequilibrium equality
- Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
- Optimal control of uniformly heated granular fluids in linear response
- Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime
- Carnot, Stirling, Ericsson stochastic heat engines: Efficiency at maximum power
- Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
- Minimum time connection between non-equilibrium steady states: the Brownian gyrator
- Optimal control of levitated nanoparticles through finite-stiffness confinement
- Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
- Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity
- A Shortcut to Finite-time Memory Erasure
- Maximum power Stirling-like heat engine with a harmonically confined Brownian particle
- Accelerating the heat diffusion: fast thermal relaxation of a microcantilever