Rectification of thermal fluctuations in ideal gases
P. Meurs, C. Van den Broeck, A. Garcia

TL;DR
This paper investigates the average speed of an adiabatic piston and a thermal Brownian motor using Boltzmann equation expansion and numerical solutions, providing insights into thermal fluctuation rectification in ideal gases.
Contribution
It introduces a method to calculate the systematic average speed of thermal devices in gases and compares analytical and numerical results.
Findings
Analytical expansion matches numerical solutions.
Thermal fluctuations can be rectified to produce systematic motion.
Provides a quantitative framework for thermal motor analysis.
Abstract
We calculate the systematic average speed of the adiabatic piston and a thermal Brownian motor, introduced in [Van den Broeck, Kawai and Meurs, \emph{Microscopic analysis of a thermal Brownian motor}, to appear in Phys. Rev. Lett.], by an expansion of the Boltzmann equation and compare with the exact numerical solution.
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