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

Li-Xiang Cen

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

Statistical Mechanics 2026-08-04 v1 Classical Physics

Authors: Li-Xiang Cen

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.

Keywords

H-function entropy Boltzmann equation hard-sphere gas Boltzmann-Grad limit

Cite

@article{arxiv.2608.03355,
  title  = {Discrepancy between the H-Function and Entropy: Insights into the rigorously established Boltzmann equation for hard-sphere gases},
  author = {Li-Xiang Cen},
  journal= {arXiv preprint arXiv:2608.03355},
  year   = {2026}
}

Comments

3 pages