Presidential Faculty Fellow

9350227戈尔茨坦作为总统学院院士奖，这项建议由两部分组成。1)教学计划涉及发展跨学科的本科生和研究生课程，涉及非线性动力学和混沌、流体动力学和模式形成以及生物和胶体系统物理。2)研究计划涉及似乎不同类别的问题，从图案形成到拓扑转变到蛋白质折叠，特别强调它们的动力学方面。PI建议寻找统一的概念，如变分原理和守恒定律的作用，以及在描述图案和形状的动力学时，理解能量学、动力学以及拓扑和几何约束是如何联系在一起的。国际和平研究所建议在普林斯顿大学开设几个本科生和研究生课程，内容涉及混沌和不稳定动力学、液体系统中的模式形成和生物系统物理等一般领域。他的研究计划是寻找控制事物如何改变形状的动力学的普遍统一原理--无论是DNA线圈，还是超导体中的漩涡，或者一种液体取代另一种液体的手指。他的兴趣在于改变形状的驱动力(能量学和动力学)和几何学对这种改变施加的约束之间的竞争的核心。***

9350227 Goldstein As a Presidential Faculty Fellow award, this proposal consists of two parts. 1) The teaching plan involves the development of interdisciplinary undergraduate and graduate courses in nonlinear dynamics and chaos, in hydrodynamics and pattern formation and in the physics of biological and colloidal systems. 2) The research plan involves seemingly diverse classes of problems ranging from pattern formation to topological transitions to protein folding with particular emphasis on their dynamical aspects. The PI proposes to look for unifying concepts such as the role of variational principles and conservation laws and for an understanding of how energetics, kinetics and topological and geometrical constraints are linked, in describing the dynamics of patterns and shapes. %%% The PI proposes to start several undergraduate and graduate classes at Princeton in the general area of chaos and unstable dynamics, of pattern formation in liquid systems and of the physics of biological systems. His research plan is to look for general unifying principles governing the dynamics of how things - be they coils of DNA or vortices in superconductors or fingers of one liquid displacing another - change shape. His interest lies at the heart of the competition between the driving force (energetics and kinetics) to change shape and the constraints that geometry puts upon that change. ***