Fluctuation theorem for the effusion of an ideal gas

TL;DR

This paper derives and verifies a fluctuation theorem for entropy production during ideal gas effusion, supported by explicit calculations and molecular dynamics simulations.

Contribution

It provides the first explicit calculation and verification of the fluctuation theorem for ideal gas effusion.

Findings

Analytic probability distribution of entropy production derived.

Fluctuation theorem verified analytically.

Numerical simulations confirm theoretical results.

Abstract

The probability distribution of the entropy production for the effusion of an ideal gas between two compartments is calculated explicitly. The fluctuation theorem is verified. The analytic results are in good agreement with numerical data from hard disk molecular dynamics simulations.