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The stochastic efficiency of effusion as a thermal engine is investigated within the framework of stochastic thermodynamics. Explicit results are obtained for the probability distribution of the efficiency both at finite times and in the asymptotic regime of large deviations. The universal features, derived in Verley et al., Nature Communications 5, 4721 (2014), are reproduced. The effusion engine is a good candidate for both the numerical and experimental verification of these predictions.

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