Underdamped stochastic heat engine at maximum efficiency

Abstract

We investigate the performance of an underdamped stochastic heat engine for a time-dependent harmonic oscillator. We analytically determine the optimal protocol that maximizes the efficiency at fixed power. The maximum efficiency reduces to the Curzon-Ahlborn formula at maximum power and the Carnot formula at zero power. We further establish that the efficiency at maximum power is universally given by the Curzon-Ahlborn efficiency in the weakly damped regime. Finally, we show that even small deviations from operation at maximum power may result in a significantly increased efficiency.

6 pages, 3 figures

References in corpus (12)

• Millikelvin cooling of an optically trapped microsphere in vacuum
• Brownian Carnot engine
• Direct Measurement of Photon Recoil from a Levitated Nanoparticle
• Dynamic Relaxation of a Levitated Nanoparticle from a Non-Equilibrium Steady State
• Extracting work from a single heat bath through feedback
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• An all-optical nanomechanical heat engine
• Adiabatic processes realized with a trapped Brownian particle
• Optimal performance of periodically driven, stochastic heat engines under limited control
• Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
• On how nanomechanical systems can minimize dissipation

Cited by in corpus (46)

• Levitodynamics: Levitation and control of microscopic objects in vacuum
• The quantum harmonic Otto cycle
• Optomechanics with Levitated Particles
• Thermodynamic Geometry of Microscopic Heat Engines
• Levitated Nanoparticles for Microscopic Thermodynamics - A Review
• Swift heat transfer by fast-forward driving in open quantum systems
• Thermodynamic uncertainty relations under arbitrary control protocols
• Engineered Swift Equilibration for Brownian objects: from underdamped to overdamped dynamics
• Fast forward approach to stochastic heat engine
• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Approaching Carnot efficiency at maximum power in linear response regime
• Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
• Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
• Heat leakage in overdamped harmonic systems
• A microscopic theory of Curzon-Ahlborn heat engine
• Thermodynamics of collisional models for Brownian particles: General properties and efficiency
• Work distribution in thermal processes
• Optomechanical cooling with coherent and squeezed light: the thermodynamic cost of opening the heat valve
• Optimal finite-time heat engines under constrained control
• Optimizing Brownian heat engine with shortcut strategy
• Achieving Carnot efficiency in a finite-power Brownian Carnot cycle with arbitrary temperature difference
• Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
• Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
• The Heat Distribution of the Underdamped Langevin Equation
• Underdamped stochastic thermodynamic engines in contact with a heat bath with arbitrary temperature profile
• Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
• Modeling the Efficiency and Effective Temperature of Bacterial Heat Engines
• Optimal Control of Underdamped Systems: An Analytic Approach
• Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime
• Relation between fluctuations and efficiency at maximum power for small heat engines
• Maximum efficiency of absorption refrigerators at arbitrary cooling power
• Stochastic thermodynamics of nonharmonic oscillators in high vacuum
• Geometric characterization for cyclic heat engines far from equilibrium
• Linear Ultrastrong Optomechanical Interaction
• Maximum efficiency of low-dissipation heat pumps at given heating load
• Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
• Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity
• Realization of all-optical underdamped stochastic Stirling engine
• Single Particle Thermodynamics with Levitated Nanoparticles
• A stochastic Stirling engine powered by an active particle
• Optimal constrained control for generally damped Brownian heat engines
• Revisiting Endo-reversible Carnot engine: Extending the Yvon engine
• Maximum power Stirling-like heat engine with a harmonically confined Brownian particle
• Optimizing power and efficiency of a single spin heat engine
• Optimizing low-dissipation Carnot-like thermal devices with heat leak
• Steady-state heat engines driven by finite reservoirs