用修正Enskog方程描述稠密气体在与热浴接触的封闭系统中的热弛豫

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2023-05-19 DOI:10.3934/krm.2023025

S. Takata

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引用次数: 1

摘要

研究了用修正Enskog方程描述的稠密气体与热浴接触的封闭系统的热弛豫。与玻尔兹曼方程一样，在满足Darrozes—Guiraud不等式的常规动力学边界条件下，发现亥姆霍兹自由能$\mathcal{F}$随时间单调减小。给出了修正的Enskog—Vlasov方程的推广。

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On the thermal relaxation of a dense gas described by the modified Enskog equation in a closed system in contact with a heat bath

The thermal relaxation of a dense gas described by the modified Enskog equation is studied for a closed system in contact with a heat bath. As in the case of the Boltzmann equation, the Helmholtz free energy $\mathcal{F}$ that decreases monotonically in time is found under the conventional kinetic boundary condition that satisfies the Darrozes--Guiraud inequality. The extension to the modified Enskog--Vlasov equation is also presented.

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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.