A Theoretical Treatment of Polymer Solutions and Polymer Blends

这项研究补助金，由材料研究部门资助， 和化学，旨在提供聚合物的描述 解决方案和混合物，在统计学上有坚实的基础， 力学，但可以为实验者理解 目前的成果和设计未来的工作。 研究涉及 开发这些系统的理论描述， 积分方程技术的目标是了解 平衡性质，特别是那些与 可靠性。 利用晶格模型已经取得了进展 描述一个二元不可压缩混合物和一个可压缩纯 液 新的研究将在两个方面进行：进一步发展 格点模型和扩展这种处理的连续 模型可以解析求解的晶格模型可以是： 对照模拟结果进行检查，几乎所有这些都是在 晶格解 连续统模型更接近现实，但 解析解是不可能的。 %%% 将进行计算以描述液体的性质 聚合物及其混合物。 模型将基于 液体的统计力学结果和补充其他 描述这些物质系统的模型。 结果将 在解释实验结果和设计 新材料

This research grant, funded by the Divisions of Materials Research and Chemistry, is aimed at providing a description of polymer solutions and blends which has a solid basis in statistical mechanics, yet is accessible to experimentalists for understanding current results and designing future work. The research involves developing a theoretical description of these systems using integral equation techniques where the goal is to understand equilibrium properties, especially those concerned with miscibility. Progress has already been made using a lattice model to describe a binary incompressible mixture and a compressible pure fluid. New research will be done in two areas: further development of the lattice model and extension of this treatment to a continuum model. The lattice model, which can be solved analytically, can be checked against simulation results, almost all of which are done on lattice solutions. The continuum model is closer to reality, but analytic solutions are not possible. %%% Calculations will be done to describe the properties of liquid polymers and their mixtures. The models will be based on statistical mechanics results for liquids and complement other models describing these material systems. The results will be important in interpreting experimental results and for designing new materials.