Fluctuations in heat engines
arXiv:2108.00172 · doi:10.1088/1751-8121/ac3aac
Abstract
At the dawn of thermodynamics, Carnot's constraint on efficiency of heat engines stimulated the formulation of one of the most universal physical principles, the second law of thermodynamics. In recent years, the field of heat engines acquired a new twist due to enormous efforts to develop and describe microscopic machines based on systems as small as single atoms. At microscales, fluctuations are an inherent part of dynamics and thermodynamic variables such as work and heat fluctuate. Novel probabilistic formulations of the second law imply general symmetries and limitations for the fluctuating output power and efficiency of the small heat engines. Will their complete understanding ignite a similar revolution as the discovery of the second law? Here, we review the known general results concerning fluctuations in the performance of small heat engines. To make the discussion more transparent, we illustrate the main abstract findings on exactly solvable models and provide a thorough theoretical introduction for newcomers to the field.
arXiv commentreview article on fluctuations in heat engines, 49 pages, 8 figures, 3nd version
References in corpus (133)
- 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
- The large deviation approach to statistical mechanics
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Thermodynamic uncertainty relation for biomolecular processes
- Fluctuation theorems: Work is not an observable
- Dissipation bounds all steady-state current fluctuations
- Fundamental aspects of steady-state conversion of heat to work at the nanoscale
- The Nonequilibrium Thermodynamics of Small Systems
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Brownian Carnot engine
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Single-molecule experiments in biological physics: methods and applications
- Fluctuation theorems for stochastic dynamics
- The power of a critical heat engine
- A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
- Fluctuation theorem uncertainty relation
- The unlikely Carnot efficiency
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Quantifying dissipation using fluctuating currents
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Comparison of far-from-equilibrium work relations
- Current fluctuations and transport efficiency for general Langevin systems
- Entropy production and time asymmetry in nonequilibrium fluctuations
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Cost and Precision of Brownian Clocks
- Universal bound on the efficiency of molecular motors
- Inferring entropy production from short experiments
- Cycling tames power fluctuations near optimum efficiency
- Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
- On the validity of the thermodynamic uncertainty relation in quantum systems
- Efficiency statistics at all times: Carnot limit at finite power
- Distribution of Entropy Production in a Single-Electron Box
- Measurement of Stochastic Entropy Production
- Improved bounds on entropy production in living systems
- Irreversibility on the Level of Single-Electron Tunneling
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
- Thermodynamic Uncertainty Relation for Arbitrary Initial States
- Work fluctuations in slow processes: quantum signatures and optimal control
- Distribution of work in isothermal non-equilibrium processes
- Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
- Universal theory of efficiency fluctuations
- Autonomous engines driven by active matter: Energetics and design principles
- Non-equilibrium work relations
- A generalization of the thermodynamic uncertainty relation to periodically driven systems
- MBL-mobile: Quantum engine based on many-body localization
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- Fluctuation Relation for Quantum Heat Engines and Refrigerators
- Quantum work statistics close to equilibrium
- Active Brownian Heat Engines
- Failure of the work-Hamiltonian connection for free energy calculations
- Single Particle Stochastic Heat Engine
- Stochastic Stirling engine operating in contact with active baths
- Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
- Comparison of work fluctuation relations
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Efficiency fluctuations of a quantum Otto engine
- Efficiency fluctuations in quantum thermoelectric devices
- Experimental evidence of non-Gaussian fluctuations near a critical point
- Brownian duet: A novel tale of thermodynamic efficiency
- Work and dissipation fluctuations near the stochastic resonance of a colloidal particle
- Active engines: Thermodynamics moves forward
- Efficiency fluctuations in microscopic machines
- Thermodynamic cycles with active matter
- General technique of calculating drift velocity and diffusion coefficient in arbitrary periodic systems
- Fluctuation Relation for Heat Engines
- Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
- Fluctuation-dissipation relations: achievements and misunderstandings
- Universal Bounds on Fluctuations in Continuous Thermal Machines
- A stochastic heat engine using an active particle
- Work distribution for the driven harmonic oscillator with time-dependent strength: Exact solution and slow driving
- Unifying approach for fluctuation theorems from joint probability distributions
- Work and power fluctuations in a critical heat engine
- Mimicking Nonequilibrium Steady States with Stochastic Pumps
- Asymptotics of work distributions: The pre-exponential factor
- Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
- Stochastic thermodynamics for delayed Langevin systems
- Non-equilibrium fluctuations for linear diffusion dynamics
- Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
- Work statistics in stochastically driven systems
- Work fluctuations in a time-dependent harmonic potential: rigorous results and beyond the overdamped limit
- Asymptotics of work distributions in non-equilibrium systems
- Current fluctuations in periodically driven systems
- Physically consistent numerical solver for time-dependent Fokker-Planck equations
- Power, Efficiency and Fluctuations in a Quantum Point Contact as Steady-State Thermoelectric Heat Engine
- Underdamped Active Brownian Heat Engine
- Work distribution in time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
- Realization of nonequilibrium thermodynamic processes using external colored noise
- Efficiency fluctuations and noise induced refrigerator-to-heater transition in information engines
- Power fluctuations in a finite-time quantum Carnot engine
- Stochastic Efficiency for Effusion as a Thermal Engine
- Thermodynamic cost of external control
- Comment on: Failure of the Work-Hamiltonian Connection for Free-Energy Calculations [Phys Rev Lett 100, 020601 (2008), arXiv:0704.0761]
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Limits of Predictions in Thermodynamic Systems: A Review
- Brownian asymmetric simple exclusion process
- Work probability distribution in single molecule experiments
- Stochastic Efficiency: Five Case Studies
- Abstract models for heat engines
- Thermal ratchet effect in confining geometries
- Modulated two-level system : Exact work statistics
- Heat fluctuations and initial ensembles
- Continuous information flow fluctuations
- Stochastic efficiency of an isothermal work-to-work converter engine
- The underdamped Brownian duet and stochastic linear irreversible thermodynamics
- Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
- Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
- Attempt-time Monte Carlo: an alternative for simulation of stochastic jump processes with time-dependent transition rates
- Properties of Nonequilibrium Steady States: a Path Integral Approach
- Joint statistics of work and entropy production along quantum trajectories
- Optimisation of an active heat engine
- On the work distribution in quasi-static processes
- Asymptotics of work distributions in a stochastically driven system
- Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions
- Work distribution in thermal processes
- The Work-Hamiltonian Connection and the Usefulness of the Jarzynski Equality for Free Energy Calculations
- Multiple dynamic transitions in nonequilibrium work fluctuations
- Efficiency fluctuations of small machines with unknown losses
- A kinetic model for the finite-time thermodynamics of small heat engines
- Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
- Heat-charge mixed noise and thermoelectric efficiency fluctuations
- Efficiency fluctuations in cyclic machines
- Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve
- Microcanonical work and fluctuation relations for an open system: An exactly solvable model
- Statistics of work performed by optical tweezers with general time-variation of their stiffness
- Exact distribution for work and stochastic efficiency of an isothermal machine
- Irreversibility to Reversibility Crossover in Transient Response of an Optically Trapped Particle
- On asymptotic behavior of work distributions for driven Brownian motion
- Comment on "Fluctuation Theorem Uncertainty Relation" and "Thermodynamic Uncertainty Relations from Exchange Fluctuation Theorems"
- Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
Cited by in corpus (13)
- Optimal Control in Stochastic Thermodynamics
- Non-Markovian thermal operations boosting the performance of quantum heat engines
- Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Work fluctuations for diffusion dynamics submitted to stochastic return
- A microscopic theory of Curzon-Ahlborn heat engine
- Optimizing Brownian heat engine with shortcut strategy
- Study of bounds on non-equilibrium fluctuations for asymmetrically driven quantum Otto engine
- Optimal finite-time heat engines under constrained control
- Optimal control of dissipation and work fluctuations for rapidly driven systems
- Relation between fluctuations and efficiency at maximum power for small heat engines
- Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
- Effects of the kinetic energy in heat for overdamped systems
- Second moments of work and heat for a single particle stochastic heat engine in a breathing harmonic potential