A note on Gibbs paradox
Radhakrishnamurty Padyala
TL;DR
This paper clarifies that Gibbs paradox results from mathematical misapplication in gas mixing, not from thermodynamic principles, across classical, statistical, or quantum frameworks.
Contribution
It identifies the root cause of Gibbs paradox as a mathematical error in the mixing process, challenging previous thermodynamic explanations.
Findings
Gibbs paradox is due to mathematical misapplication.
Thermodynamic principles are not the source of the paradox.
Correct mathematical treatment resolves the paradox.
Abstract
We show in this note that Gibbs paradox arises not due to application of thermodynamic principles, whether classical or statistical or even quantum mechanical, but due to incorrect application of mathematics to the process of mixing of ideal gases.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Phase Equilibria and Thermodynamics