Coefficient of performance at maximum figure of merit and its bounds for low-dissipation Carnot-like refrigerators

Abstract

The figure of merit for refrigerators performing finite-time Carnot-like cycles between two reservoirs at temperature $T_h$ and $T_c$ ($<T_h$) is optimized. It is found that the coefficient of performance at maximum figure of merit is bounded between 0 and $(\sqrt{9+8{\epsilon }_c}-3)/2$ for the low-dissipation refrigerators, where ${\epsilon }_c=T_c/(T_h-T_c)$ is the Carnot coefficient of performance for reversible refrigerators. These bounds can be reached for extremely asymmetric low-dissipation cases when the ratio between the dissipation constants of the processes in contact with the cold and hot reservoirs approaches to zero or infinity, respectively. The observed coefficients of performance for real refrigerators are located in the region between the lower and upper bounds, which is in good agreement with our theoretical estimation.

arXiv comment5 journal pages, 3 figures

References in corpus (11)

• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of low dissipation Carnot engines
• Universality of efficiency at maximum power
• Thermoelectric efficiency at maximum power in a quantum dot
• Quantum-dot Carnot engine at maximum power
• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Efficiency at maximum power of minimally nonlinear irreversible heat engines
• Optimal refrigerator
• Efficiency at maximum power output of linear irreversible Carnot-like heat engines
• Efficiency at maximum power of thermally coupled heat engines
• Bounds of efficiency at maximum power for linear, superlinear and sublinear irreversible Carnot-like heat engines

Cited by in corpus (29)

• Quantum-enhanced absorption refrigerators
• Performance bound for quantum absorption refrigerators
• Optimal cycles for low-dissipation heat engines
• Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
• Coefficient of performance under optimized figure of merit in minimally nonlinear irreversible refrigerator
• On the efficiency at maximum cooling power
• Low-dissipation Carnot-like heat engines at maximum efficient power
• Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
• Efficiency at maximum power output of an irreversible Carnot-like cycle with internally dissipative friction
• Coefficient of performance for a low-dissipation Carnot-like refrigerator with nonadiabatic dissipation
• Heat devices in nonlinear irreversible thermodynamics
• Weighted reciprocal of temperature, weighted thermal flux, and their applications in finite-time thermodynamics
• Heat engines at optimal power: Low-dissipation versus endoreversible model
• Universality of energy conversion efficiency for optimal tight-coupling heat engines and refrigerators
• Thermodynamics of quantum feedback cooling
• Optimal Performance of a Three-level Quantum Refrigerator
• Bounds of Efficiency at Maximum Power for Normal-, Sub- and Super-Dissipative Carnot-Like Heat Engines
• Quantum refrigerators in finite-time cycle duration
• Coefficient of performance under maximum $\chi$ criterion in a two-level atomic system as a refrigerator
• Coefficient of performance at maximum χ-criterion for Feynman ratchet as a refrigerator
• Maximum efficiency of low-dissipation refrigerators at arbitrary cooling power
• Performance optimization of low-dissipation thermal machines revisited
• A theoretical study on the performances of thermoelectric heat engine and refrigerator with two-dimensional electron reservoirs
• Estimating performance of Feynman's ratchet with limited information
• Efficiency of inefficient endoreversible thermal machines
• Global linear-irreversible principle for optimization in finite-time thermodynamics
• Maximum efficiency of absorption refrigerators at arbitrary cooling power
• Unified approach to power-efficiency trade-off relations of generic thermal machines
• Coefficient of performance at maximum cooling power of a simplified quantum dot refrigerator model with resistance