Universal theory of efficiency fluctuations
arXiv:1409.3514 · doi:10.1103/PhysRevE.90.052145
Abstract
Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from equilibrium. In particular, the long-time probability for observing a reversible efficiency in a given engine is identical to that for the same engine working under the time-reversed driving. When the driving is symmetric, this reversible efficiency becomes the least probable.
arXiv comment10 pages, 9 figures, 1 table
References in corpus (35)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The large deviation approach to statistical mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
- Information heat engine: converting information to energy by feedback control
- The Nonequilibrium Thermodynamics of Small Systems
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Universality of efficiency at maximum power
- Three detailed fluctuation theorems
- Ensemble and Trajectory Thermodynamics: A Brief Introduction
- Quantum-dot Carnot engine at maximum power
- The unlikely Carnot efficiency
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- On the heat flux and entropy produced by thermal fluctuations
- Efficiency of autonomous soft nano-machines at maximum power
- Entropy fluctuation theorems in driven open systems: application to electron counting statistics
- Distribution of Entropy Production in a Single-Electron Box
- Experimental free energy measurements of kinetic molecular states using fluctuation theorems
- Irreversibility on the Level of Single-Electron Tunneling
- Fluctuation Relation for Quantum Heat Engines and Refrigerators
- Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
- Efficiency at maximum power of interacting molecular machines
- Stochastically driven single level quantum dot: a nano-scale finite-time thermodynamic machine and its various operational modes
- Fluctuation Relation for Heat Engines
- Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
- Unifying approach for fluctuation theorems from joint probability distributions
- Work statistics in stochastically driven systems
- Experimental verification of reciprocity relations in quantum thermoelectric transport
- Joint probability distributions and fluctuation theorems
- Modulated two-level system : Exact work statistics
- Inequalities generalizing the second law of thermodynamics for transitions between non-stationary states
- Energy versus information based estimations of dissipation using a pair of magnetic colloidal particles
Cited by in corpus (77)
- Brownian Carnot engine
- Quantum thermodynamic devices: from theoretical proposals to experimental reality
- Irreversibility in active matter systems: Fluctuation theorem and mutual information
- Inferring entropy production from short experiments
- Theory of nonequilibrium free energy transduction by molecular machines
- Efficiency statistics at all times: Carnot limit at finite power
- Coherence-enhanced constancy of a quantum thermoelectric generator
- Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Efficiency fluctuations of a quantum Otto engine
- Conservation Laws shape Dissipation
- Efficiency fluctuations in quantum thermoelectric devices
- Brownian duet: A novel tale of thermodynamic efficiency
- Efficiency fluctuations in microscopic machines
- Integral Fluctuation Relations for Entropy Production at Stopping Times
- Estimating time-dependent entropy production from non-equilibrium trajectories
- Universal Bounds on Fluctuations in Continuous Thermal Machines
- Carnot efficiency at divergent power output
- Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
- Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
- A geometric bound on the efficiency of irreversible thermodynamic cycles
- Overdamped stochastic thermodynamics with multiple reservoirs
- Collective effects enhancing power and efficiency
- Fluctuations in heat engines
- Mapping of uncertainty relations between continuous and discrete time
- 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
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Efficiency of Single Particle Engines
- Non-Markovian thermal operations boosting the performance of quantum heat engines
- Quantitative analysis of non-equilibrium systems from short-time experimental data
- Irreversibility in active matter: General framework for active Ornstein-Uhlenbeck particles
- Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Stochastic Efficiency: Five Case Studies
- Approaching Carnot efficiency at maximum power in linear response regime
- Abstract models for heat engines
- Efficiency statistics of a quantum Otto cycle
- Optimizing Thermodynamic Cycles with Two Finite-Sized Reservoirs
- Continuous information flow fluctuations
- Energy Dissipation Bounds for Autonomous Thermodynamic Cycles
- Stochastic efficiency of an isothermal work-to-work converter engine
- Brownian thermal transistors and refrigerators in mesoscopic systems
- The underdamped Brownian duet and stochastic linear irreversible thermodynamics
- An autonomous out of equilibrium Maxwell's demon for controlling the energy fluxes produced by thermal fluctuations
- Inelastic thermoelectric transport and fluctuations in mesoscopic system
- Thermodynamics at the microscale: from effective heating to the Brownian Carnot engine
- Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
- Optimisation of an active heat engine
- Efficiency fluctuations in a quantum battery charged by a repeated interaction process
- Quantum refrigerators in finite-time cycle duration
- Current fluctuations in nonequilibrium discontinuous phase transitions
- Efficiency large deviation function of quantum heat engines
- Fluctuation Theorem for a Small Engine and Magnetization Switching by Spin Torque
- Statistics of heat transport across capacitively coupled double quantum dot circuit
- Heat-charge mixed noise and thermoelectric efficiency fluctuations
- Graph-combinatorial approach for large deviations of Markov chains
- A large deviation perspective on ratio observables in reset processes: robustness of rate functions
- Efficiency fluctuations of small machines with unknown losses
- Efficiency fluctuations in cyclic machines
- Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve
- Stochastic Floquet quantum heat engines and stochastic efficiencies
- Short time dynamics of molecular junctions after projective measurement
- Modeling the Efficiency and Effective Temperature of Bacterial Heat Engines
- Conditional reversibility in nonequilibrium stochastic systems
- Relation between fluctuations and efficiency at maximum power for small heat engines
- Exact distribution for work and stochastic efficiency of an isothermal machine
- Towards Stirling engine using an optically confined particle subjected to asymmetric temperature profile
- Full counting statistics of information content
- Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
- Full counting statistics of information content and particle number
- Heat and charge current fluctuations and the time dependent coefficient of performance for a nanoscale refrigerator
- Operational characteristics of single particle heat engines and refrigerators with time asymmetric protocol
- Universal relations and bounds for fluctuations in quasistatic small heat engines
- Active Ornstein-Uhlenbeck Model for Bacterial Heat Engines
- Counting statistics of energy transport across squeezed thermal reservoirs
- One-particle engine with a porous piston