Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry.
TLDR
Universal properties of the statistics of stochastic efficiency for mesoscopic time-reversal symmetry broken energy transducers are revealed in the Gaussian approximation and the underlying physics is demonstrated through the quantum Hall effect and further elaborated in a triple-quantum-dot three-terminal thermoelectric engine.Abstract:
Universal properties of the statistics of stochastic efficiency for mesoscopic time-reversal symmetry broken energy transducers are revealed in the Gaussian approximation. We also discuss how the second law of thermodynamics restricts the statistics of stochastic efficiency. The tight-coupling limit becomes unfavorable, characterized by an infinitely broad distribution of efficiency at all times, when time-reversal symmetry breaking leads to an asymmetric Onsager response matrix. The underlying physics is demonstrated through the quantum Hall effect and further elaborated in a triple-quantum-dot three-terminal thermoelectric engine.read more
Citations
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TL;DR: In this article, the efficiency of a Carnot engine for the case where the power output is limited by the rates of heat transfer to and from the working substance was analyzed, and it was shown that the efficiency at maximum power output was given by the expression η = 1 − (T2/T1)1/2 where T1 and T2 are the respective temperatures of the heat source and heat sink.
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Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
TL;DR: Fluctuation theorems (FTs) as discussed by the authors describe some universal properties of nonequilibrium fluctuations and are derived from a quantum perspective by introducing a two-point measurement on the system.