Stochastic efficiency of an isothermal work-to-work converter engine
arXiv:1707.06843 · doi:10.1103/PhysRevE.96.042130
Abstract
We investigate the efficiency of an isothermal Brownian work-to-work converter engine, composed of a Brownian particle coupled to a heat bath at a constant temperature. The system is maintained out of equilibrium by using two external time-dependent stochastic Gaussian forces, where one is called load force and the other is called drive force. Work done by these two forces are stochastic quantities. The efficiency of this small engine is defined as the ratio of stochastic work done against load force to stochastic work done by the drive force. The probability density function as well as large deviation function of the stochastic efficiency are studied analytically and verified by numerical simulations.
12 pages, 8 figures
References in corpus (17)
- The large deviation approach to statistical mechanics
- An Extension of the Fluctuation Theorem
- The unlikely Carnot efficiency
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Efficiency statistics at all times: Carnot limit at finite power
- Work fluctuations for a Brownian particle between two thermostats
- Universal theory of efficiency fluctuations
- Large deviations of heat flow in harmonic chains
- Brownian duet: A novel tale of thermodynamic efficiency
- Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
- Heat and work fluctuations for a harmonic oscillator
- Work fluctuations for a Brownian particle in a harmonic trap with fluctuating locations
- Stochastic Efficiency for Effusion as a Thermal Engine
- Stochastic Efficiency: Five Case Studies
- Work fluctuations for a Brownian particle driven by a correlated external random force
Cited by in corpus (17)
- Inferring entropy production from short experiments
- Efficiency fluctuations in microscopic machines
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- Heat fluctuations in a harmonic chain of active particles
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- Efficiency large deviation function of quantum heat engines
- A large deviation perspective on ratio observables in reset processes: robustness of rate functions
- Multi-level quantum Diesel engine of non-interacting fermions in a one-dimensional box
- Hyperaccurate bounds in discrete-state Markovian systems
- Optimizations of Multilevel Quantum Heat Engine with N Noninteracting Fermions Based on Lenoir Cycle
- Partial entropy production in heat transport
- Exact distribution for work and stochastic efficiency of an isothermal machine
- Energy exchanges in a damped Langevin-like system with two thermal baths and an athermal reservoir
- Universal relations and bounds for fluctuations in quasistatic small heat engines
- Active energy harvesting and work transduction by hair-cell bundles in bullfrog's inner ear
- Counting statistics of energy transport across squeezed thermal reservoirs