Autonomous implementation of thermodynamic cycles at the nanoscale

Abstract

There are two paradigms to study nanoscale engines in stochastic and quantum thermodynamics. Autonomous models, which do not rely on any external time-dependence, and models that make use of time-dependent control fields, often combined with dividing the control protocol into idealized strokes of a thermodynamic cycle. While the latter paradigm offers theoretical simplifications, its utility in practice has been questioned due to the involved approximations. Here, we bridge the two paradigms by constructing an autonomous model, which implements a thermodynamic cycle in a certain parameter regime. This effect is made possible by self-oscillations, realized in our model by the well studied electron shuttling mechanism. Based on experimentally realistic values, we find that a thermodynamic cycle analysis for a single-electron working fluid is {\it not} justified, but a few-electron working fluid could suffice to justify it. Furthermore, additional open challenges remain to autonomously implement the more studied Carnot and Otto cycles.

arXiv commentImproved presentation and extended Appendix; accepted by PRL

References in corpus (53)

• Quantum Thermodynamics
• Molecular Transport Junctions: Vibrational Effects
• A single-atom heat engine
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Brownian Carnot engine
• Experimental demonstration of quantum effects in the operation of microscopic heat engines
• Self-oscillation
• Experimental characterization of a spin quantum heat engine
• The quantum harmonic Otto cycle
• Shuttle Mechanism for Charge Transfer in Coulomb Blockade Nanostructures
• On-chip Maxwell's demon as an information-powered refrigerator
• Thermoelectric energy harvesting with quantum dots
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermodynamics with continuous information flow
• A spin heat engine coupled to a harmonic-oscillator flywheel
• Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor
• A nanomechanical resonator shuttling single electrons at radio frequencies
• Quantum thermal absorption machines: refrigerators, engines and clocks
• The Brownian gyrator: a minimal heat engine on the nano-scale
• Quantum Shuttle in Phase Space
• Incoherent dynamics of vibrating single-molecule transistors
• Shot Noise of a Quantum Shuttle
• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• Heat-machine control by quantum-state preparation: from quantum engines to refrigerators
• Transport via a quantum shuttle
• Autonomous Rotor Heat Engine
• A coherent nanomechanical oscillator driven by single-electron tunnelling
• Entropy Production in Open Systems: The Predominant Role of Intra-Environment Correlations
• Electrical Autonomous Brownian Gyrator
• Accuracy of a mechanical single electron shuttle
• Non-equilibrium System as a Demon
• A mechanical autonomous stochastic heat engine
• Autonomous conversion of information to work in quantum dots
• Work production of quantum rotor engines
• Giving electrons a ride: nanomechanical electron shuttles
• Electromechanics of charge shuttling in dissipative nanostructures
• DC voltage-sustained self-oscillation of a nano-mechanical electron shuttle
• Stochastic dynamics for a single vibrational mode in molecular junctions
• A thermodynamic cycle for the solar cell
• Stochastic thermodynamics of self-oscillations: the electron shuttle
• Coulomb Blockade in a Coupled Nanomechanical Electron Shuttle
• Quantum Noise in the Electromechanical Shuttle
• Optical simulation of a quantum thermal machine
• Spontaneous Symmetry Breaking in Two Coupled Nanomechanical Electron Shuttles
• Stochastic Thermodynamic Cycles of a Mesoscopic Thermoelectric Engine
• Solar cell as self-oscillating heat engine
• Direct mechanical mixing in a nanoelectromechanical diode
• Double coupled electron shuttle
• Thermoelectric generators as self-oscillating heat engines
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Dynamical theory for the battery's electromotive force

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• Efficiency fluctuations in a quantum battery charged by a repeated interaction process
• Key Issues Review: Useful autonomous quantum machines
• Extractable work in quantum electromechanics
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• Quantum Carnot thermal machines re-examined: Definition of efficiency and the effects of strong coupling
• Leaking elastic capacitor as model for active matter
• Correlation-enhanced Stability of Microscopic Cyclic Heat Engines
• Electron shuttle as an autonomous single-electron source
• The problem of engines in statistical physics
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Powering an autonomous clock with quantum electromechanics
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