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Universal Bounds on Fluctuations in Continuous Thermal Machines.
Sushant Saryal1, Matthew Gerry2, Ilia Khait2
1Department of Physics, Indian Institute of Science Education and Research, Pune 411008, India.
This study establishes fundamental bounds on energy conversion device fluctuations. Output current fluctuations are limited by input current fluctuations, with efficiency-dependent upper and lower bounds.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Understanding energy conversion efficiency and fluctuations is crucial for device performance.
- Steady-state thermodynamics governs the behavior of energy conversion devices.
Purpose of the Study:
- To derive fundamental bounds on the ratios of fluctuations in steady-state time-reversal energy conversion devices.
- To establish relationships between output and input current fluctuations and their bounds.
Main Methods:
- Analysis in the linear response regime.
- Derivation of fluctuation bounds based on efficiency.
- Application to specific devices like thermoelectric junctions and quantum refrigerators.
Main Results:
- The relative fluctuations of output power are lower bounded by the relative fluctuations of input heat current.
- Upper and lower bounds on the ratio of output to input current fluctuations are determined by the engine's average and Carnot efficiency, respectively.
- Lower bound saturation occurs in the tight-coupling limit.
Conclusions:
- The derived fluctuation bounds are universally applicable to various energy conversion devices and regimes.
- Findings suggest broader applicability of these bounds beyond the linear response regime, supported by numerical simulations.
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