THEORY OF SYSTEMS OF RODLIKE PARTICLES .1. ATHERMAL SYSTEMS
THEORY OF SYSTEMS OF RODLIKE PARTICLES .1. ATHERMAL SYSTEMS
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DOI：
10.1080/00268947908084861
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发表时间：
1979-01-01
影响因子：
0.7
通讯作者：
RONCA, G
中科院分区：
文献类型：
--
作者：
FLORY, PJ;RONCA, G
本文对1956年提出的格点模型作了改进，并将其应用于轴比为x的硬棒在稀释剂中的分散系统。在本文的范围内，除了接触排斥外，颗粒间的力被故意忽略。导出并明确考虑了棒状粒子在双有序相中的平衡取向分布。热力学性质在高阶渐近极限下近似约减。对于那些以前获得的。对各向异性相和各向同性相之间的平衡进行的计算得出，在极限x → ∞时，各相中的体积分数之比为ν′x/νx= 1.4653。在相同的极限下，表示共存时各向同性相中溶质物种的总体积的乘积x νx为7.89。计算得到纯液中两相共存的轴比临界值为xcrit = 6.417。结果与其他理论进行了比较。那些依赖于维里展开的方法，在把溶剂当作连续体处理时，容易产生错误。
An improved treatment of the lattice model proposed in 1956 is presented for a system of hard rods, with axial ratiox, dispersed in a diluent. Interparticle forces, apart from repulsions on contact, are deliberately ignored within the scope of the present paper. The equilibrium distribution of orientations of the rodlike particles in a phase with nematic order is derived and explicitly taken into account. Thermodynamic properties in the asymptotic limit of high degree of order reduce approximately. to those obtained previously. Calculations carried out for equilibrium between anistropic (nematic) and isotropic phases yield ν′x/νx= 1.4653 for the ratio of volume fractions in the respective phases in the limitx→ ∞. The productxνx, expressing the combined covolume of solute species in the isotropic phase at coexistence is 7.89 in the same limit. The calculated critical value of the axial ratio for coexistence of the two phases in the neat liquid is xcrit, = 6.417. Results are compared with those of other theories. Those that rely on the virial expansion are subject to errors implicit in treating the solvent as a continuum.