Statistical Physics of Polymer and Related Systems

将对与材料科学相关的非平衡现象的介观描述进行研究。非平衡系统的模型将根据离散的时空映射进行研究，这使得开发有效的计算工具成为可能。利用这种方法，我们将同时使用数值和分析技术，包括重整化群技术来研究动力学标度性质。将在赠款范围内研究的具体系统包括：聚合物体系的变节分解，包括流体动力学；晶体表面重组的动力学；共存相有序对变节分解的影响；聚合物晶体生长；凝胶化开始时的动态伸缩；以及硫化。

Research will be conducted on mesoscopic descriptions of non- equilibrium phenomena associated with materials science. Models of non-equilibrium systems will be studied in terms of discrete space- time maps, which permit efficient computational tools to be developed. Using this approach dynamical scaling properties will be studied using both numerical and analytical techniques, including renormalization group techniques. Specific systems to be studied within the scope of the grant include: spinodal decomposition of polymeric systems, including hydrodynamics; dynamics of crystal surface reorganization; the effect of coexisting phase ordering on spinodal decomposition; polymer crystal growth; dynamical scaling at the onset of gelation; and, vulcanization.