TL;DR
This paper critically examines entropy, highlighting limitations of Shannon entropy in representing different thermodynamic ensembles and its implications for deriving the Second Law of thermodynamics.
Contribution
It identifies fundamental shortcomings of Shannon entropy in microcanonical ensembles and discusses their impact on thermodynamic theory.
Findings
Shannon entropy inadequately models microcanonical ensembles
Limitations affect the theoretical derivation of the Second Law
Highlights need for alternative entropy frameworks
Abstract
Entropy is critically examined as a fundamental concept in contemporary science and informatics. Although the typical Shannon entropy provides a proper framework for describing the canonical ensemble, it fails to represent adequately the microcanonical ensemble. This discrepancy manifests additionally in its inability to support a theoretical derivation of the Second Law of thermodynamics.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Complex Systems and Dynamics