Fluctuation theorem applied to the Nos\'e-Hoover thermostated Lorentz gas

TL;DR

This paper provides numerical evidence that the Gallavotti-Cohen Fluctuation Theorem applies to a driven Lorentz gas with Nosé-Hoover thermostating, showing the fluctuation formula's independence from driving force amplitude at small values.

Contribution

It demonstrates the validity of the Fluctuation Theorem in a specific thermostated Lorentz gas system through numerical analysis.

Findings

Fluctuation Theorem holds for the driven Lorentz gas with Nosé-Hoover thermostating.

Asymptotic fluctuation formula is independent of driving force amplitude at small forces.

Numerical evidence supports theoretical predictions about fluctuation behavior.

Abstract

We present numerical evidence supporting the validity of the Gallavotti-Cohen Fluctuation Theorem applied to the driven Lorentz gas with Nos\'e-Hoover thermostating. It is moreover argued that the asymptotic form of the fluctuation formula is independent of the amplitude of the driving force, in the limit where it is small.