Universal efficiency at optimal work with Bayesian statistics

Universal efficiency at optimal work with bayesian statistics.

If the work per cycle of a quantum heat engine is averaged over an appropriate prior distribution for an external parameter a , the work becomes optimal at Curzon-Ahlborn (CA) efficiency. More general priors of the form Π(a) ∝ 1/a(γ) yield optimal work at an efficiency which stays close to CA value, in particular near equilibrium the efficiency scales as one-half of the Carnot value. This featu...

statistics at work in the library

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Bayesian Statistics BAYESIAN STATISTICS ∗

Mathematical statistics uses two major paradigms, conventional (or frequentist), and Bayesian. Bayesian methods provide a complete paradigm for both statistical inference and decision making under uncertainty. Bayesian methods may be derived from an axiomatic system, and hence provide a general, coherent methodology. Bayesian methods contain as particular cases many of the more often used frequ...

Efficiency statistics at all times: Carnot limit at finite power.

We derive the statistics of the efficiency under the assumption that thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of time, macroscopic efficiency, and a coupling parameter ζ. It has a peculiar behavior: no moments, one sub-, and one super-Carnot maxima corresponding to reverse operating regimes (engine or pump), the most probable efficiency decreasing in time. The l...

Bayesian Statistics