Thermodynamics of static: Observers in Gibbs paradox

TL;DR

This paper examines Gibbs paradox from the perspective of observers, analyzing how their identification ability and prior information influence the entropy of mixing.

Contribution

It introduces a new observer-centric view of Gibbs paradox, quantifying how observer limitations affect entropy calculations.

Findings

Entropy of mixing depends on observer identification ability.

Prior information of the observer influences entropy outcomes.

Quantitative analysis of observer limitations in thermodynamic processes.

Abstract

In this work, Gibbs paradox was discussed from the view of observer. The limitations of real observer are analyzed quantitatively. The entropy of mixing was found to be determined by both the identification ability and the information already in hand of an observer.