Universal trade-off between power, efficiency, and constancy in steady-state heat engines

Abstract

Heat engines should ideally have large power output, operate close to Carnot efficiency and show constancy, i.e., exhibit only small fluctuations in this output. For steady-state heat engines, driven by a constant temperature difference between the two heat baths, we prove that out of these three requirements only two are compatible. Constancy enters quantitatively the conventional trade-off between power and efficiency. Thus, we rationalize and unify recent suggestions for overcoming this simple trade-off. Our universal bound is illustrated for a paradigmatic model of a quantum dot solar cell and for a Brownian gyrator delivering mechanical work against an external force.

6 pages + 4 pages Supplemental Material, final version

References in corpus (20)

• Thermodynamic uncertainty relation for biomolecular processes
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• The unlikely Carnot efficiency
• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Introduction to dynamical large deviations of Markov processes
• Cost and Precision of Brownian Clocks
• Universal bound on the efficiency of molecular motors
• The Brownian gyrator: a minimal heat engine on the nano-scale
• Efficiency statistics at all times: Carnot limit at finite power
• Universal Coherence-Induced Power Losses of Quantum Heat Engines in Linear Response
• Experimental Realization of a Minimal Microscopic Heat Engine
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Electrical Autonomous Brownian Gyrator
• Bound on Thermoelectric Power in a Magnetic Field within Linear Response
• Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
• Work and power fluctuations in a critical heat engine
• Efficiency bounds on thermoelectric transport in magnetic fields: The role of inelastic processes
• Thermodynamic bounds and general properties of optimal efficiency and power in linear responses
• Stochastic Efficiency: Five Case Studies
• Engines with ideal efficiency and nonzero power for sublinear transport laws

Cited by in corpus (273)

• Irreversible entropy production, from quantum to classical
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Current fluctuations and transport efficiency for general Langevin systems
• Quantum thermal absorption machines: refrigerators, engines and clocks
• Thermodynamics of precision in quantum non equilibrium steady states
• An endoreversible quantum heat engine driven by atomic collisions
• Thermodynamic uncertainty relation for time-dependent driving
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Inferring entropy production from short experiments
• Stochastic thermodynamics of computation
• Cycling tames power fluctuations near optimum efficiency
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Unified thermodynamic uncertainty relations in linear response
• On the validity of the thermodynamic uncertainty relation in quantum systems
• Multidimensional thermodynamic uncertainty relations
• Theory of nonequilibrium free energy transduction by molecular machines
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Estimating entropy production by machine learning of short-time fluctuating currents
• Time-information uncertainty relations in thermodynamics
• Thermodynamic Geometry of Microscopic Heat Engines
• Entropy production estimation with optimal current
• Stochastic time-evolution, information geometry and the Cramer-Rao Bound
• Unified Approach to Classical Speed Limit and Thermodynamic Uncertainty Relation
• Thermodynamic uncertainty relation in slowly driven quantum heat engines
• Stochastic thermodynamics: From principles to the cost of precision
• Coherence-enhanced constancy of a quantum thermoelectric generator
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Thermodynamic uncertainty relations including measurement and feedback
• Bounds on current fluctuations in periodically driven systems
• Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser
• Quantum Engines and Refrigerators
• Thermodynamics of Precision in Markovian Open Quantum Dynamics
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance
• Minimum entropy production, detailed balance and Wasserstein distance for continuous-time Markov processes
• Quantum work statistics close to equilibrium
• Active Brownian Heat Engines
• Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
• Uncertainty relations for underdamped Langevin dynamics
• Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Nonlinear thermoelectricity with electron-hole symmetric systems
• Efficiency fluctuations in microscopic machines
• Quantum heat statistics with time-evolving matrix product operators
• Thermodynamic cycles with active matter
• Effect of a magnetic field on the thermodynamic uncertainty relation
• Thermodynamic uncertainty relation and thermodynamic speed limit in deterministic chemical reaction networks
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Many-body quantum thermal machines
• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Anomalous heat transport in classical many-body systems: overview and perspectives
• Non-Fourier heat transport in nanosystems
• Thermodynamics of precision in quantum nano-machines
• Universal Bounds on Fluctuations in Continuous Thermal Machines
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Thermodynamic uncertainty relations under arbitrary control protocols
• Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
• A stochastic heat engine using an active particle
• Classical pendulum clocks break the thermodynamic uncertainty relation
• Quantum-Enhanced Heat Engine Based on Superabsorption
• Quantum finite-time thermodynamics: insight from a single qubit engine
• Bounds in Nonequilibrium Quantum Dynamics
• A geometric bound on the efficiency of irreversible thermodynamic cycles
• Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
• Geometry of work fluctuations versus efficiency in microscopic thermal machines
• Thermodynamic uncertainty relations for coherently driven open quantum systems
• Physically consistent numerical solver for time-dependent Fokker-Planck equations
• Thermodynamic Uncertainty Relations for Bosonic Otto Engines
• Thermodynamic uncertainty relation in atomic-scale quantum conductors
• Fluctuations in heat engines
• Heat driven transport in serial double quantum dot devices
• Collective effects on the performance and stability of quantum heat engines
• Underdamped Active Brownian Heat Engine
• Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
• Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine
• Power fluctuations in a finite-time quantum Carnot engine
• Universal minimal cost of coherent biochemical oscillations
• Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
• Numerically exact counting statistics of energy current in the Kondo regime
• How irreversible are steady-state trajectories of a trapped active particle?
• Uncertainty relation under information measurement and feedback control
• Brownian heat engine with active reservoirs
• Bounds on fluctuations for finite-time quantum Otto cycle
• Non-Markovian thermal operations boosting the performance of quantum heat engines
• Finite-time performance of a single-ion quantum Otto engine
• Pareto-optimal cycles for power, efficiency and fluctuations of quantum heat engines using reinforcement learning
• A unifying picture of generalized thermodynamic uncertainty relations
• Optimal work-to-work conversion of a nonlinear quantum brownian duet
• Engineering dynamical couplings for quantum thermodynamic tasks
• Martingales for physicists: A treatise on stochastic thermodynamics and beyond
• Roadmap on Quantum Thermodynamics
• Optimal finite-time Brownian Carnot engine
• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Broadband frequency filters with quantum dot chains
• Finite-time quantum Otto engine: Surpassing the quasi-static efficiency due to friction
• Universal form of thermodynamic uncertainty relation for Langevin dynamics
• Abstract models for heat engines
• Negative contributions to entropy production induced by quantum coherences
• Approaching Carnot efficiency at maximum power in linear response regime
• Quantum Heat Engines with Carnot Efficiency at Maximum Power
• Free diffusion bounds the precision of currents in underdamped dynamics
• General bounds on electronic shot noise in the absence of currents
• Stochastic thermodynamics of all-to-all interacting many-body systems
• Thermodynamics from indistinguishability: mitigating and amplifying the effects of the bath
• Thermodynamic interpretation of Wasserstein distance
• Energy Dissipation Bounds for Autonomous Thermodynamic Cycles
• Superradiant many-qubit absorption refrigerator
• Probabilistically Violating the First Law of Thermodynamics in a Quantum Heat Engine
• Inertial effects on the Brownian gyrator
• Hybrid quantum thermal machines with dynamical couplings
• Two-Stroke Optimization Scheme for Mesoscopic Refrigerators
• Fundamental relation between entropy production and heat current
• Quadratic Enhancement in the Reliability of Collective Quantum Engines
• Fundamental bounds on precision and response for quantum trajectory observables
• Effect of Measurement Backaction on Quantum Clock Precision Studied with a Superconducting Circuit
• Joint statistics of work and entropy production along quantum trajectories
• Stochastic discrete time crystals: Entropy production and subharmonic synchronization
• Multitask quantum thermal machines and cooperative effects
• Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
• Optimisation of an active heat engine
• A Brownian cyclic engine operating in a viscoelastic active suspension
• A microscopic theory of Curzon-Ahlborn heat engine
• Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
• Diverging current fluctuations in critical Kerr resonators
• Power-efficiency-fluctuations trade-off in steady-state heat engines: The role of interactions
• Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
• Shortcuts to adiabaticity for open quantum systems and a mixed-state inverse engineering scheme
• Effects of noise-induced coherence on the fluctuations of current in quantum absorption refrigerators
• Quantum jump approach to microscopic heat engines
• Exploring quantum thermodynamics with NMR
• Measurement-based quantum thermal machines with feedback control
• Skewness and Kurtosis in Stochastic Thermodynamics
• Optimal efficiency and power and their trade-off in three-terminal quantum thermoelectric engines with two output electric currents
• Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
• Out-of-Equilibrium Fluctuation-Dissipation Bounds
• Information geometry approach to quantum stochastic thermodynamics
• Thermodynamic Uncertainty Relations for Coherent Transport
• Exactly solvable two-terminal heat engine with asymmetric Onsager coefficients: Origin of the power-efficiency bound
• Thermodynamic performance bounds for radiative heat engines
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Multilevel quantum thermodynamic swap engines
• Optimal time estimation and the clock uncertainty relation for stochastic processes
• Uncertainty of quantum channels via modified generalized variance and modified generalized Wigner-Yanase-Dyson skew information
• Universal bounds on the performance of information-thermodynamic engine
• Strong coupling in thermoelectric nanojunctions: a reaction coordinate framework
• Thermodynamics of a continuously monitored double quantum dot heat engine in the repeated interactions framework
• Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
• Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
• Autonomous demon exploiting heat and information at the trajectory level
• Exactly solvable model of a passive Brownian heat engine and its comparison with active engines
• Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off
• Entropy production and fluctuation theorems in a continuously monitored optical cavity at zero temperature
• Quantum-enhanced performance in superconducting Andreev-reflection engines
• Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
• Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators
• Efficiency fluctuations in cyclic machines
• Periodically refreshed quantum thermal machines
• Study of bounds on non-equilibrium fluctuations for asymmetrically driven quantum Otto engine
• Optimization of stochastic thermodynamic machines
• Thermodynamic geometry of ideal quantum gases: a general framework and a geometric picture of BEC-enhanced heat engines
• Achieving Carnot efficiency in a finite-power Brownian Carnot cycle with arbitrary temperature difference
• Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
• Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
• Thermodynamic uncertainty relations for systems with broken time reversal symmetry: the case of superconducting hybrid systems
• Bounds on fluctuations for ensembles of quantum thermal machines
• Precision bound and optimal control in periodically modulated continuous quantum thermal machines
• Learning the best thermoelectric nanoscale heat engines through evolving network topology
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Thermodynamic uncertainty relation from involutions
• Microscopic low-dissipation heat engine via shortcuts to adiabaticity and shortcuts to isothermality
• Optimization of Asymmetric Quantum Otto Engine Cycles
• Instantaneous equilibrium Transport for Brownian systems under time-dependent temperature and potential variations: Reversibility, Heat and work relations, and Fast Isentropic process
• Carnot efficiency and zero-entropy-production rate do not guarantee reversibility of a process
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• An ordered set of power-efficiency trade-offs
• Variance sum rule: proofs and solvable models
• Universal Scaling Bounds on a Quantum Heat Current
• Statistics of work performed by optical tweezers with general time-variation of their stiffness
• Detailed fluctuation theorem bounds apparent violations of the second law
• Dicke superradiant enhancement of the heat current in circuit QED
• Quantum mean-square predictors and thermodynamics
• Compatibility of Carnot efficiency with finite power in an underdamped Brownian Carnot cycle in small temperature-difference regime
• Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
• Universal bounds on optimization of free energy harvesting
• Thermodynamic precision in the nonequilibrium exchange scenario
• Information bound for entropy production from the detailed fluctuation theorem
• Experimental characterization of autonomous heat engine based on minimal dynamical-system model
• Fluctuations and stability of a fast driven Otto cycle
• Transmission from reverse reaction coordinate mappings
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Time-resolved Stochastic Dynamics of Quantum Thermal Machines
• Relation between fluctuations and efficiency at maximum power for small heat engines
• Nonequilibrium Quantum Thermodynamics in Non-Markovian Adiabatic Speedup
• Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• Information Arbitrage in Bipartite Heat Engines
• Generalised linear response theory for the full quantum work statistics
• Geometric characterization for cyclic heat engines far from equilibrium
• Inferring entropy production from time-dependent moments
• The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system
• Coherent heat transfer leads to genuine quantum enhancement in the performances of continuous engines
• Certifying quantum enhancements in thermal machines beyond the Thermodynamic Uncertainty Relation
• Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
• Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine
• Maximum Power of Coupled-Qubit Otto Engines
• Thermodynamic uncertainty relations in superconducting junctions
• Information Geometric Aspects of Probability Paths with Minimum Entropy Production for Quantum State Evolution
• Partially Observable Szilard Engines
• Characterization and optimization of heat engines: Pareto-optimal fronts and universal features
• All-thermal reversal of heat currents using qutrits
• Inferring the Langevin Equation with Uncertainty via Bayesian Neural Networks
• Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
• Collective effects enhanced multi-qubit information engines
• Bipolar thermoelectric superconducting single-electron transistor
• Continuous time-reversal and equality in the thermodynamic uncertainty relation
• Geometrical bounds on irreversibility in squeezed thermal bath
• Optimization of a class of heat engines with explicit solution
• Artificially intelligent Maxwell's demon for optimal control of open quantum systems
• Finite-time quantum measurement cooling beyond the Carnot limit
• Power-efficiency trade-off for finite-time quantum harmonic Otto heat engine via phase-space approach
• A Numerical Method to Find the Optimal Thermodynamic Cycle in Microscopic Heat Engine
• Power-Efficiency Constraint for Chemical Motors
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Hidden energy flows in strongly coupled nonequilibrium systems
• Quantum transport phenomena induced by time-dependent fields
• Autonomous Circular Heat Engine
• Noise and Thermodynamic Uncertainty Relation in "Underwater" Molecular Junctions
• Efficiency and power of minimally nonlinear irreversible heat engines with broken time-reversal symmetry
• Superlattice nanowire heat engines with direction-dependent power output and heat current
• Rapid optimal work extraction from a quantum-dot information engine
• Wasserstein distance in speed limit inequalities for Markov jump processes
• Revisiting Endo-reversible Carnot engine: Extending the Yvon engine
• Molecular Motor or Molecular Clock: A Question of Load
• Maximum power Stirling-like heat engine with a harmonically confined Brownian particle
• Thermodynamic inference of correlations in nonequilibrium collective dynamics
• A Finite-Time Quantum Otto Engine subject to Control Noise and Enhancement Techniques
• Stochastic Thermodynamics at the Quantum-Classical Boundary: A Self-Consistent Framework Based on Adiabatic-Response Theory
• Inverse thermodynamic uncertainty relation and entropy production
• Current noise in quantum dot thermoelectric engines
• Entanglement signature in quantum work statistics in the slow-driving regime
• Current precision in interacting hybrid Normal-Superconducting systems
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems
• Thermodynamics of photoelectric devices
• Decomposition of metric tensor in thermodynamic geometry in terms of relaxation timescales
• Thermodynamic uncertainty relation for systems with active Ornstein-Uhlenbeck particles
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Counting observables in stochastic excursions
• Evading Thermodynamic Uncertainty Relations via Asymmetric Dynamic Protocols
• Thermodynamic uncertainty relation for underdamped dynamics driven by time-dependent protocols
• Quantum thermodynamic uncertainty relation and macroscopic superconducting coherence
• Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Framework for fluctuating times and counting observables in stochastic excursions
• Thermodynamic bound on current fluctuations in coherent conductors
• Coulomb-mediated single-electron heat transfer statistics across capacitively coupled silicon nanodots
• Tightening the thermodynamic uncertainty relations with null-entropy events: What we learn when nothing happens
• Inertia Tames Fluctuations in Autonomous Stationary Heat Engines
• Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
• Universal bounds on fluctuations for machines with broken time-reversal symmetry
• Virial-like Thermodynamic Uncertainty Relation in the Tight-Binding Regime
• Thermodynamic efficiency of self-organisation in nonequilibrium steady states
• Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes
• Geometric Bounds on the Power of Adiabatic Thermal Machines
• Thermodynamic uncertainty relation in the overdamped limit with a magnetic Lorentz force
• Control protocols for harmonically confined run-and-tumble particles
• Thermodynamic uncertainty relations for relativistic quantum thermal machines
• Information-thermodynamic bounds on precision in interacting quantum systems
• Universal Precision Limits in General Open Quantum Systems
• Steady-state heat engines driven by finite reservoirs
• Unified approach to power-efficiency trade-off relations of generic thermal machines
• Time-cost-error trade-off relation in thermodynamics: The third law and beyond
• Entropic signature of resonant thermal transport: Ordered form of heat conduction