A Born-Green-Yvon Integral Equation Treatment of Fluids and their Mixtures

这项更新拨款资助理论研究，以扩展液态理论-波恩-格林-伊冯积分方程技术-更复杂的流体（聚合物和聚合物混合物）。这项研究有许多目标。一是对晶格流体和连续流体及其混合物有了更深入的了解。另一个是根据晶格或连续统理论确定计算出的热力学性质的差异。最后的目标是发展理论工具，这将有助于实验者解释结果。虽然在简单液体的研究中很常见，但这里使用的方法在聚合物的应用中是独一无二的，并且提供了一种介于更常用的聚合物晶格和连续介质理论之间的综合理论方法。这项理论研究将建立聚合物液体和液体混合物的严格模型，这将极大地有助于解释这类重要材料的实验结果。研究结果也将使更常用的理论有更好的视角。

This renewal grant funds theoretical research to extend liquid state theory - the Born-Green-Yvon integral equation technique- to more complex fluids (polymers and polymer mixtures). There are a number of objectives for this research. One is the greater understanding of both lattice and continuum fluids and their mixtures. Another is the determination of differences in calculated thermodynamic properties based on either the lattice or continuum theories. A final objective is to development theoretical tools which will be useful for experimentalists to interpret results. Although common in studies of simple liquids, the methods used here are unique in their application to polymers and provide a comprehensive theoretical approach which is midway between the more commonly used polymer lattice and continuum theories. %%% This theoretical research will establish rigorous models of polymer liquids and liquid mixtures which will greatly assist the interpretation of experimental results for this important class of materials. The results should also place more commonly used theories in better perspective.