An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems

TL;DR

This paper experimentally tests the local fluctuation theorem in a chain of coupled cat maps, demonstrating its observability in small subsystems through measurements of local entropy creation rates.

Contribution

It provides the first experimental verification of the local fluctuation theorem in weakly interacting Anosov systems, focusing on subsystem behavior.

Findings

Local fluctuation theorem is observable in small subsystems.

The experiment confirms theoretical predictions for entropy creation rates.

Demonstrates applicability of fluctuation theorems to coupled chaotic maps.

Abstract

An experimental test of a large fluctuation theorem is performed on a chain of coupled ``cat maps''. Our interest is focused on the behavior of a subsystem of this chain. A local entropy creation rate is defined and we show that the local fluctuation theorem derived in [G1] is experimentally observable already for small subsystems.