An equation of state of gases at high temperatures and densities
An equation of state of gases at high temperatures and densities
复制标题
高温和高密度下气体的状态方程
DOI：
--
复制
发表时间：
1964
期刊：
影响因子：
--
通讯作者：
J. Rowlinson
中科院分区：
文献类型：
--
作者：
J. Rowlinson
对于由具有Lennard-Jones （n,1/2n）势的分子组成的气体，可以得到封闭形式的状态方程。它在温度高于约12 （e/k）时有用，其中-e是相互作用的最小能量，并且在平衡态为流体的所有密度下都有用。它是通过对perus和Yevick提出的对分布函数的近似中出现的所有维里展开的聚类积分的总和推导出来的。每个聚类积分都被正确地表示为n -1的数量级。该方程与n =∞和n = 12时稠密气体压力的机器计算结果、高温下气体压缩的静态测量结果以及冲击波压缩到100 - 200kb压力范围内的氩气密度的一些初步测量结果吻合得很好。
An equation of state is obtained in closed form for a gas composed of molecules with Lennard-Jones (n,1/2n) potentials. It is useful at temperatures above about 12 (e/k), where -e is the minimum energy of interaction and at all densities at which the equilibrium state is a fluid. It is derived by summing over all the cluster integrals of the virial expansion that occur in the approximation for the pair distribution function proposed by Percus and Yevick. Each cluster integral is represented correctly to terms of the order of n -1. The equation agrees well with machine calculations of the pressure of dense gases for n = ∞ and n = 12, with static measurements of the compression of gases at high reduced temperatures, and with some preliminary measurements of the density of argon compressed by shockwaves to pressures in the range 100–200 kb.