Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases

Li-Xiang Cen

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arXiv · 2608.03355

Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases

Li-Xiang Cen

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Abstract

By investigating the origin of the evolutionary discrepancy between the H-function and entropy, we elucidate that the H-function fails to serve as a valid arrow-of-time criterion in the rigorously derived Boltzmann equation for the hard-sphere gas model under the Boltzmann-Grad limit.

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Li-Xiang Cen. 2026-08-04. Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases. https://arxiv.org/abs/2608.03355

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