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.
review article on fluctuations in heat engines, 49 pages, 8 figures, 3nd version
References in corpus (47)
- The large deviation approach to statistical mechanics
- Thermodynamic uncertainty relation for biomolecular processes
- Fluctuation theorems: Work is not an observable
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Fluctuation theorems for stochastic dynamics
- The unlikely Carnot efficiency
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Comparison of far-from-equilibrium work relations
- 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
- Efficiency statistics at all times: Carnot limit at finite power
- Measurement of Stochastic Entropy Production
- Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
- Distribution of work in isothermal non-equilibrium processes
- Universal theory of efficiency fluctuations
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- Failure of the work-Hamiltonian connection for free energy calculations
- Single Particle Stochastic Heat Engine
- Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
- Comparison of work fluctuation relations
- Efficiency fluctuations in quantum thermoelectric devices
- Brownian duet: A novel tale of thermodynamic efficiency
- Work and dissipation fluctuations near the stochastic resonance of a colloidal particle
- Efficiency fluctuations in microscopic machines
- Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
- Universal Bounds on Fluctuations in Continuous Thermal Machines
- 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
- Stochastic thermodynamics for delayed Langevin systems
- 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
- Stochastic Efficiency for Effusion as a Thermal Engine
- Comment on: Failure of the Work-Hamiltonian Connection for Free-Energy Calculations [Phys Rev Lett 100, 020601 (2008), arXiv:0704.0761]
- Limits of Predictions in Thermodynamic Systems: A Review
- Work probability distribution in single molecule experiments
- Stochastic Efficiency: Five Case Studies
- Thermal ratchet effect in confining geometries
- Continuous information flow fluctuations
- Heat fluctuations and initial ensembles
- Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
- Properties of Nonequilibrium Steady States: a Path Integral Approach
- Asymptotics of work distributions in a stochastically driven system
- A kinetic model for the finite-time thermodynamics of small heat engines
- Irreversibility to Reversibility Crossover in Transient Response of an Optically Trapped Particle
- Comment on "Fluctuation Theorem Uncertainty Relation" and "Thermodynamic Uncertainty Relations from Exchange Fluctuation Theorems"
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- 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