ON THE KINETIC THEORY OF A VAN DER WAALS GAS
ON THE KINETIC THEORY OF A VAN DER WAALS GAS
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范德瓦尔斯气体的动力学理论
DOI：
10.1139/p67-035
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发表时间：
1967
影响因子：
1.2
通讯作者：
L. Sobrino
中科院分区：
文献类型：
--
作者：
L. Sobrino
提出了一个动力学方程，导致在平衡时，货车的状态方程。结果表明，该动力学方程服从H定理，其平衡解在凝聚区有两种类型：（i）非齐次平衡解，它是绝对稳定的，对应于平衡的两相;（ii）齐次平衡解，它不是绝对稳定的，但如果可压缩性为正，对小的动态（即非准静态）扰动稳定，并对应于系统的亚稳态。因此，可以看出，线性理论不能解释从亚稳态到稳态的转变。得到了分布函数前三个速度矩的简化非线性方程组，希望对它的研究有助于理解上述转变。
A kinetic equation is proposed that leads, in equilibrium, to the Van der Waals equation of state. It is shown that this kinetic equation obeys an H theorem, and that its equilibrium solutions are, in the condensation region, of two types, (i) inhomogeneous equilibrium solutions which are absolutely stable and correspond to the two phases in equilibrium, (ii) homogeneous equilibrium solutions which are not absolutely stable but are, if the compressibility is positive, stable against small dynamical (i.e. nonquasi-static) perturbations, and correspond to the metastable states of the system. As a result, it is seen that a linear theory cannot explain the transition from the metastable to the stable states. A system of simplified nonlinear equations for the first three velocity moments of the distribution function is obtained in the hope that its study will contribute to the understanding of the mentioned transition.