Universal bounds on cooling power and cooling efficiency for autonomous absorption refrigerators

Abstract

For steady-state autonomous absorption refrigerators operating in the linear response regime, we show that there exists a hierarchy between the relative fluctuation of currents for cold, hot, and work terminals. Our proof requires the Onsager's reciprocity relation along with the refrigeration condition that sets the direction of the mean currents for each terminal. As a consequence, the universal bounds on the mean cooling power, obtained following the thermodynamic uncertainty relations, receive a hierarchy. Interestingly, within this hierarchy, the tightest bound is given in terms of the work current fluctuation. Furthermore, the relative uncertainty hierarchy hands over additional bounds that can be tighter than the bounds obtained from the thermodynamic uncertainty relations. Interestingly, all of these bounds saturate in the tight-coupling limit. We test the validity of our results for two paradigmatic absorption refrigerator models: (i) a four-level working fluid and (ii) a two-level working fluid, operating, respectively, in the weak (additive) and in the strong (multiplicative) system-bath interaction regime.

9 pages, 6 figures

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Performance bound for quantum absorption refrigerators
• Autonomous Quantum Refrigerator in a Circuit-QED Architecture Based on a Josephson Junction
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Universal Bounds on Fluctuations in Continuous Thermal Machines
• Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators
• Qubit absorption refrigerator at strong coupling
• Autonomous quantum absorption refrigerators
• Quantum and classical dynamics of a three-mode absorption refrigerator
• Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
• Power-efficiency-fluctuations trade-off in steady-state heat engines: The role of interactions
• Relation between topology and heat currents in multilevel absorption machines

Cited by in corpus (7)

• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Performance boost of a collective qutrit refrigerator
• Key Issues Review: Useful autonomous quantum machines
• Dynamics of two central spins immersed in spin baths
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Enhancing the Performances of Autonomous Quantum Refrigerators via Two-Photon Transitions
• Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes