Efficiency of Single Particle Engines
Karel Proesmans, Cedric Driesen, Bart Cleuren, Christian Van den, Broeck
TL;DR
This paper investigates the efficiency of single particle Szilard and Carnot engines, analyzing work distribution, efficiency fluctuations, and effects at zero temperature, with a focus on piston speed influence.
Contribution
It introduces a first order correction to the quasi-static limit, showing Gaussian work distribution and piston speed dependence of efficiency corrections.
Findings
Work distribution is Gaussian with first order correction.
Efficiency fluctuations are confirmed numerically.
Zero temperature limit reveals special features.
Abstract
We study the efficiency of a single particle Szilard and Carnot engine. Within a first order correction to the quasi-static limit, the work distribution is found to be Gaussian and the correction factor to average work and efficiency only depends on the piston speed. The stochastic efficiency is studied for both models and the recent findings on efficiency fluctuations are confirmed numerically. Special features are revealed in the zero temperature limit.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Field-Flow Fractionation Techniques · Phase Equilibria and Thermodynamics