English

Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem

Statistical Mechanics 2025-05-09 v2 Mathematical Physics math.MP

Abstract

A novel modification of the original Enskog equation is proposed. The modification is much simpler than that is made in the modified (or revised) Enskog equation proposed by van Beijeren \& Ernst in 1973 and does not require a consideration of many-body configuration. The proposed modification is general enough to be adapted to various equations of states for non-ideal gases. It is shown that the H-theorem can be established for the Enskog and the Enskog--Vlasov equation with the proposed modification.

Keywords

Cite

@article{arxiv.2502.04744,
  title  = {Enskog and Enskog-Vlasov equations with a slightly modified correlation factor and their H theorem},
  author = {Shigeru Takata and Aoto Takahashi},
  journal= {arXiv preprint arXiv:2502.04744},
  year   = {2025}
}

Comments

26 pages, No figures