Optimal performance of periodically driven, stochastic heat engines under limited control
arXiv:1602.04119 · doi:10.1103/PhysRevE.93.042112
Abstract
We consider the performance of periodically driven stochastic heat engines in the linear response regime. Reaching the theoretical bounds for efficiency and efficiency at maximum power typically requires full control over the design and the driving of the system. We develop a framework which allows to quantify the role that limited control over the system has on the performance. Specifically, we show that optimizing the driving entering the work extraction for a given temperature protocol leads to a universal, one-parameter dependence for both maximum efficiency and maximum power as a function of efficiency. In particular, we show that reaching Carnot efficiency (and, hence, Curzon-Ahlborn efficiency at maximum power) requires to have control over the amplitude of the full Hamiltonian of the system. Since the kinetic energy cannot be controlled by an external parameter, heat engines based on underdamped dynamics can typically not reach Carnot efficiency. We illustrate our general theory with a paradigmatic case study of a heat engine consisting of an underdamped charged particle in a modulated two-dimensional harmonic trap in the presence of a magnetic field.
arXiv comment15 pages, 6 figures
References in corpus (32)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Efficiency at maximum power of low dissipation Carnot engines
- Single ion heat engine with maximum efficiency at maximum power
- Brownian Carnot engine
- Universality of efficiency at maximum power
- Reversible thermoelectric nanomaterials
- Reversible quantum Brownian heat engines for electrons
- Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
- Efficiency at maximum power of Feynman's ratchet as a heat engine
- Extracting work from a single heat bath through feedback
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
- Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
- Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
- An all-optical nanomechanical heat engine
- Efficiency of autonomous soft nano-machines at maximum power
- Adiabatic processes realized with a trapped Brownian particle
- Onsager coefficients of a finite-time Carnot cycle
- Inattainability of Carnot efficiency in the Brownian heat engine
- Onsager coefficients in periodically driven systems
- Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
- Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
- Single Particle Stochastic Heat Engine
- Efficiency of a Brownian information machine
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Bound on Thermoelectric Power in a Magnetic Field within Linear Response
- Heat devices in nonlinear irreversible thermodynamics
- Onsager coefficients of a Brownian Carnot cycle
- A Classical Nernst Engine
- Linear irreversible heat engines based on the local equilibrium assumptions
- Optimal potentials for temperature ratchets
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- Maximum efficiency of steady-state heat engines at arbitrary power
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- Optimal thermodynamic control in open quantum systems
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- Thermodynamics of collisional models for Brownian particles: General properties and efficiency
- Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
- Quantum jump approach to microscopic heat engines
- Work extraction and performance of colloidal heat engines in viscoelastic baths
- Optimal efficiency and power and their trade-off in three-terminal quantum thermoelectric engines with two output electric currents
- Work and Heat Value of Bound Entanglement
- Driven Brownian particle as a paradigm for a nonequilibrium heat bath: Effective temperature and cyclic work extraction
- Negative entropy production rates in Drude-Sommerfeld metals
- General relations between the power, efficiency and dissipation for the irreversible heat engines in the nonlinear response regime
- Linear Stochastic Thermodynamics
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- Optimal finite-time heat engines under constrained control
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- Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
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- Characterization and optimization of heat engines: Pareto-optimal fronts and universal features
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- Efficiency and power of minimally nonlinear irreversible heat engines with broken time-reversal symmetry
- Maximum power Stirling-like heat engine with a harmonically confined Brownian particle
- Optimizing power and efficiency of a single spin heat engine
- Harvesting energy from a periodic heat bath
- Optimizing low-dissipation Carnot-like thermal devices with heat leak
- Optimal finite-time processes in weakly driven overdamped Brownian motion
- Steady-state heat engines driven by finite reservoirs