arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2502.04744cond-mat.stat-mechmath-phmath.MP
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具有轻微修正关联因子的 Enskog 与 Enskog-Vlasov 方程及其 H 定理

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

Shigeru Takata, Aoto Takahashi

AI总结:

本文提出一种比 van Beijeren 与 Ernst 修正更简单且无需多体构型的 Enskog 方程新修正,可适配非理想气体多种状态方程,并证明相应 Enskog 与 Enskog-Vlasov 方程的 H 定理。

摘要:

本文对原始 Enskog 方程提出一种新的修正。该修正比 van Beijeren 与 Ernst 于 1973 年提出的修正(或修订)Enskog 方程中的做法简单得多,并且不需要考虑多体构型。所提出的修正具有足够的普适性,能够适用于非理想气体的各种状态方程。研究表明,对于采用该修正的 Enskog 方程和 Enskog-Vlasov 方程,可以建立 H 定理。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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