Dynamics and Thermodynamics of Polymers

9970718 muthukumar这是一笔用于支持聚合物理论研究的拨款。特别地，将研究聚电解质溶液的热力学；聚电解质在随机环境中的弛豫和输运与模式识别和复杂相关的拓扑挫折；以及溶液中聚合物结晶的动力学。将推导出完整的数学表达式，以描述聚电解质溶液中伴随普通-特殊转变的快慢动力学的非普遍特征；随机介质中聚电解质的模式识别与输运薄片的形状、厚度和结晶动力学。这一理论研究补充了世界上许多实验室正在积极进行的实验研究。这项工作的结果与许多应用相关，包括色谱和电泳等分离技术，分子复合材料的制备和加工，以及纳米级结构和人工酶的控制制造。这是一笔支持聚合物理论研究的基金。特别地，将研究聚电解质溶液的热力学；聚电解质在随机环境中的弛豫和输运与模式识别和复杂相关的拓扑挫折；以及溶液中聚合物结晶的动力学。这一理论研究补充了世界上许多实验室正在积极进行的实验研究。这项工作的结果与许多应用相关，包括色谱和电泳等分离技术，分子复合材料的制备和加工，以及纳米级结构和人工酶的控制制造

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.***