Dynamics and Thermodynamics of Polymers

9970718-这是一项支持聚合物理论研究的赠款。特别是，将研究聚电解质溶液的热力学；聚电解质在随机环境中的松弛和传输；与模式识别和络合有关的拓扑受挫；以及聚合物从溶液中结晶的动力学。文中将推导出完整的数学表达式，描述聚电解质溶液中由普通到特殊转变的快慢动力学的非普遍特征；聚电解质在随机介质中的模式识别和传输；以及片层的形状、厚度和结晶动力学。这项理论研究是对世界各地许多实验室积极开展的实验研究的补充。这项工作的结果与许多应用有关，包括分离技术，如层析和电泳，分子复合材料的制备和加工，以及纳米级结构和人造酶的受控制造。%这是一项支持聚合物理论研究的赠款。特别是，将研究聚电解质溶液的热力学；聚电解质在随机环境中的松弛和传输；与模式识别和络合有关的拓扑受挫；以及聚合物从溶液中结晶的动力学。这项理论研究是对世界各地许多实验室积极开展的实验研究的补充。这项工作的结果与许多应用有关，包括分离技术，如层析和电泳，分子复合材料的制备和加工，以及纳米结构和人造酶的受控制造。

9970718MuthukumarThis is a grant to support theoretical research on polymers. In particular, investigations will be made on the thermodynamics of polyelectrolyte solutions; relaxation and transport of polyelectrolytes in random environments; topological frustrations associated with pattern recognition and complexations; and, kinetics of polymer crystallization from solutions. Full mathematical expressions will be derived which describe the non-universal features of the fast and slow dynamics accopanying the ordinary-extraordinary transition in polyelectrolyte solutions; pattern recognition and transport of polyelectrolytes in random media; and, shape, thickness and crystallization kinetics of lamellae. This theoretical research complements experimental investigations which are being actively pursued in many laboratories worldwide. The results of this work are relevant to numerous applications including separation techniques like chromatography and electrophoresis, preparation and processing of molecular composites, and controlled fabrication of nanoscale structures and artificial enzymes.%%%This is a grant to support theoretical research on polymers. In particular, investigations will be made on the thermodynamics of polyelectrolyte solutions; relaxation and transport of polyelectrolytes in random environments; topological frustrations associated with pattern recognition and complexations; and, kinetics of polymer crystallization from solutions. This theoretical research complements experimental investigations which are being actively pursued in many laboratories worldwide. The results of this work are relevant to numerous applications including separation techniques like chromatography and electrophoresis, preparation and processing of molecular composites, and controlled fabrication of nanoscale structures and artificial enzymes.***