Constraints between entropy production and its fluctuations in nonthermal engines

Abstract

We analyze a mesoscopic conductor autonomously performing a thermodynamically useful task, such as cooling or producing electrical power, in a part of the system -- the working substance -- by exploiting another terminal or set of terminals -- the resource -- that contains a stationary nonthermal (nonequilibrium) distribution. Thanks to the nonthermal properties of the resource, on average no exchange of particles or energy with the working substance is required to fulfill the task. This resembles the action of a demon, as long as only average quantities are considered. Here, we go beyond a description based on average currents and investigate the role of fluctuations in such a system. We show that a minimum level of entropy fluctuations in the system is necessary, whenever one is exploiting a certain entropy production in the resource terminal to perform a useful task in the working substance. For concrete implementations of the demonic nonthermal engine in three- and four-terminal electronic conductors in the quantum Hall regime, we compare the resource fluctuations to the entropy production in the resource and to the useful engine output (produced power or cooling power).

18 pages, 8 figures

References in corpus (18)

• Thermodynamic uncertainty relation for biomolecular processes
• Quantum limit of heat flow across a single electronic channel
• Experimental study of mutual information in a Maxwell Demon
• Optimal energy quanta to current conversion
• Thermodynamics of a physical model implementing a Maxwell demon
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Chiral thermoelectrics with quantum Hall edge states
• Electronic heat flow and thermal shot noise in quantum circuits
• Entanglement and thermokinetic uncertainty relations in coherent mesoscopic transport
• Characterizing autonomous Maxwell demons
• Charge, spin, and heat shot noises in the absence of average currents: Conditions on bounds at zero and finite frequencies
• Nongalvanic thermometry for ultracold two-dimensional electron domains
• Entropy current and efficiency of quantum machines driven by nonequilibrium incoherent reservoirs
• Thermodynamic uncertainty relations for systems with broken time reversal symmetry: the case of superconducting hybrid systems
• Coherent control of thermoelectric currents and noise in quantum thermocouples
• Noise and Thermodynamic Uncertainty Relation in "Underwater" Molecular Junctions

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• Autonomous demon exploiting heat and information at the trajectory level
• Synchronization-induced violation of thermodynamic uncertainty relations
• All-thermal reversal of heat currents using qutrits
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Thermodynamic bound on current fluctuations in coherent conductors
• Precision of an autonomous demon exploiting nonthermal resources and information