Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
arXiv:2003.02013 · doi:10.1103/PhysRevE.101.052124
Abstract
We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility parameters and bath temperatures. For a slight decrease in power with respect to its maximum value, the maximum efficiency exhibits an infinitely-fast nonlinear increase, which is standard in heat engines, only for a limited range of parameters. Otherwise, it increases only linearly with the slope given by ratio of irreversibility parameters. This behavior can be traced to the fact that maximum power is attained for vanishing duration of the hot isotherm. Due to the lengthiness of the full solution for the maximum efficiency, we discuss and demonstrate these results using simple approximations valid for parameters yielding the two different qualitative behaviors. We also discuss relation of our findings to those obtained for minimally nonlinear irreversible refrigerators.
10 pages, 4 figures, updated references
References in corpus (38)
- A nano heat engine beyond the Carnot limit
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Efficiency at maximum power of low dissipation Carnot engines
- Single ion heat engine with maximum efficiency at maximum power
- Brownian Carnot engine
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Most efficient quantum thermoelectric at finite power output
- The power of a critical heat engine
- Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
- Cycling tames power fluctuations near optimum efficiency
- Slow dynamics and thermodynamics of open quantum systems
- Efficiency at maximum power of minimally nonlinear irreversible heat engines
- Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
- Complementarity relation for irreversible process derived from stochastic energetics
- Optimal cycles for low-dissipation heat engines
- Feynman's ratchet and pawl: an exactly solvable model
- Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators
- Universal constraint for efficiency and power of a low-dissipation heat engine
- Active Brownian Heat Engines
- Maximum Efficiency of Low-Dissipation Heat Engines at Arbitrary Power
- Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
- The Carnot Cycle for Small Systems: Irreversibility and the Cost of Operations
- Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
- Stochastic pumping of heat: Approaching the Carnot efficiency
- Brownian duet: A novel tale of thermodynamic efficiency
- Maximum efficiency of steady-state heat engines at arbitrary power
- Underdamped stochastic heat engine at maximum efficiency
- Work Output and Efficiency at Maximum Power of Linear Irreversible Heat Engines Operating with a Finite-Sized Heat Source
- Coefficient of performance under optimized figure of merit in minimally nonlinear irreversible refrigerator
- On the efficiency at maximum cooling power
- Optimal protocols for slowly-driven quantum processes
- Universal features in the efficiency of ultra hot quantum Otto engines
- Carnot efficiency at divergent power output
- Heat devices in nonlinear irreversible thermodynamics
- Diverging, but negligible power at Carnot efficiency: theory and experiment
- Coefficient of performance under maximum criterion in a two-level atomic system as a refrigerator
- On the efficiency of heat engines at the micro-scale and below
- General relations between the power, efficiency and dissipation for the irreversible heat engines in the nonlinear response regime
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