Autonomous Implementation of Thermodynamic Cycles at the Nanoscale

Area of Science:

• Stochastic and quantum thermodynamics
• Nanoscale thermodynamics
• Quantum engines

Background:

• Two paradigms exist for studying nanoscale engines: autonomous models and time-dependent control field models.
• Time-dependent models offer theoretical simplicity but face practical limitations due to approximations.
• Bridging these paradigms is crucial for advancing the understanding and application of nanoscale thermodynamic cycles.

Purpose of the Study:

• To develop an autonomous model that implements a thermodynamic cycle.
• To investigate the feasibility of thermodynamic cycle analysis in nanoscale engines.
• To determine the required number of electrons for a working fluid to justify cycle analysis.

Main Methods:

• Constructed an autonomous model utilizing self-oscillations via an electron shuttling mechanism.
• Simulated the model using experimentally realistic parameter values.
• Analyzed the thermodynamic behavior for single- and few-electron working fluids.

Main Results:

• The autonomous model successfully implemented a thermodynamic cycle under specific parameter regimes.
• Thermodynamic cycle analysis was found to be unjustified for a single-electron working fluid.
• A few-electron working fluid was identified as potentially sufficient for justifying thermodynamic cycle analysis.

Conclusions:

• Autonomous implementation of thermodynamic cycles is achievable in nanoscale systems.
• The number of electrons in the working fluid significantly impacts the validity of thermodynamic cycle analysis.
• Further research is needed to autonomously implement established cycles like Carnot and Otto.