Dynamics of Colloidal Surfaces

该奖项是雷蒙德·戈尔茨坦博士化学博士后奖学金的启动资助增量，以支持他在普林斯顿大学的研究。戈尔茨坦博士的研究重点是研究细胞膜和核酸等胶体表面的运动。这些表面形成的空间模式通常出现在比分子更大的长度尺度上，并且可以用连续介质弹性理论来描述。研究涉及到这种以耗散为主导的约束变分动力学的形式发展。理解表面几何形状和弹性在运动中的作用的第一步涉及到对粘性耗散的局部描述，就像孤立布朗粒子的动力学一样。将最近开发的二维系统方法推广到具有弯曲和扭转能的封闭聚合物和具有扩散杂质耦合到局部几何结构的膜的研究中，并开发封闭表面的有限温度朗之万动力学-形状的统计力学。

This award is made as the starter grant increment of Dr. Raymond Goldstein's Postdoctoral Fellowship in Chemistry Award in support of his research at Princeton University. The thrust of Dr. Goldstein's research is the study of the motion of colloidal surfaces such as cell membranes and nucleic acids. The spatial patterns formed by these surfaces generally occur on length scales larger than molecular, and may be described by a continuum elastic theory. The research involves the development of formalisms for such constrained variational dynamics dominated by dissipation. A first step toward understanding the role of surface geometry and elasticity in the motion involves a local description of the viscous dissipation as in the dynamics of an isolated Brownian particle. Generalizations of a recently developed approach for two-dimensional systems are envisioned for the study of closed polymers with bending and torsional energy and of membranes with diffusing impurities coupled to the local geometry, and to develop a finite-temperature Langevin dynamics for closed surfaces--a statistical mechanics of shapes.