Fluctuation Relation for Heat Engines
arXiv:1111.7014 · doi:10.1088/1751-8113/44/40/405001
Abstract
We derive the exact equality, referred to as the fluctuation relation for heat engines (FRHE), that relates statistics of heat extracted from one of the two heat baths and the work per one cycle of a heat engine operation. Carnot's inequality of classical thermodynamics follows as a direct consequence of the FRHE.
3 pages, 1 figure
References in corpus (6)
- Fluctuation theorems for stochastic dynamics
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Directed flow in non-adiabatic stochastic pumps
- Mapping out of equilibrium into equilibrium in one-dimensional transport models
- Irreversible Thermodynamics in Multiscale Stochastic Dynamical Systems
- Escorted free energy simulations
Cited by in corpus (45)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The unlikely Carnot efficiency
- Thermodynamic uncertainty relations from exchange fluctuation theorems
- Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
- The Theory of Spin Noise Spectroscopy: A Review
- Full counting statistics of vibrationally-assisted electronic conduction: transport and fluctuations of the thermoelectric efficiency
- Universal theory of efficiency fluctuations
- Quantum Engines and Refrigerators
- Fluctuation Relation for Quantum Heat Engines and Refrigerators
- Single Particle Stochastic Heat Engine
- Work and power fluctuations in a critical heat engine
- Experimental entanglement-enhanced work extraction based on a Maxwell's demon
- Fluctuations in heat engines
- Thermodynamic Uncertainty Relations for Bosonic Otto Engines
- Dissipation, Correlation and Lags in Heat Engines
- Efficiency fluctuations of stochastic machines undergoing a phase transition
- Non-Markovian thermal operations boosting the performance of quantum heat engines
- Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
- Carnot process with a single particle
- Efficiency statistics of a quantum Otto cycle
- The underdamped Brownian duet and stochastic linear irreversible thermodynamics
- Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
- Joint statistics of work and entropy production along quantum trajectories
- A microscopic theory of Curzon-Ahlborn heat engine
- Exploring quantum thermodynamics with NMR
- Multilevel quantum thermodynamic swap engines
- Fluctuation Theorem for a Small Engine and Magnetization Switching by Spin Torque
- Efficiency fluctuations of small machines with unknown losses
- Power Fluctuations of An Irreversible Quantum Otto Engine
- Fluctuation relations for heat engines in time-periodic steady states
- Fluctuations of the heat exchanged between two quantum spin chains
- Detailed fluctuation theorem bounds apparent violations of the second law
- Generalized Quantum Fluctuation Theorem for Energy Exchange
- Exchange fluctuation theorems for a chain of interacting particles in presence of two heat baths
- Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
- Information bound for entropy production from the detailed fluctuation theorem
- Stochastic thermodynamics of macrospins with fluctuating amplitude and direction
- Relation between fluctuations and efficiency at maximum power for small heat engines
- Moment generating function bound from detailed fluctuation theorem
- Transient exchange fluctuation theorems for heat using Hamiltonian framework: Classical and Quantum
- Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
- Temperature fluctuations in mesoscopic systems
- Additivity of multiple heat reservoirs in Langevin equation
- Universal relations and bounds for fluctuations in quasistatic small heat engines
- Work Fluctuations in Ergotropic Heat Engines