Energy conservation and H theorem for the Enskog-Vlasov equation.

Energy conservation and H theorem for the Enskog-Vlasov equation.
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Enskog-Vlasov 方程的能量守恒和 H 定理。

DOI:
10.1103/physreve.97.062115
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发表时间:
2018
期刊:
Physical review. E
影响因子:
--
通讯作者:
M. Benilov
M. Benilov
中科院分区:
--
文献类型:
--
作者:
E. Benilov;M. Benilov

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Enskog-Vlasov(EV)方程是气液相变的一个广泛应用的半唯象模型。我们表明,它一般不保存能量,虽然存在一个限制,它的系数。此外,如果EV方程的能量守恒形式也满足H定理,则可以用它严格推导出决定汽液平衡参数的所谓麦克斯韦结构。最后,我们表明,EV模型提供了一个准确的描述稀有流体的热力学,并存在一个版本足够简单的应用程序中使用。
The Enskog-Vlasov (EV) equation is a widely used semiphenomenological model of gas-liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.