Presidential Faculty Fellow

9350227戈尔茨坦作为总统教职研究员奖，这项建议包括两个部分。1)教学计划涉及非线性动力学和混沌，流体力学和图案形成以及生物和胶体系统物理学的跨学科本科和研究生课程的发展。2)该研究计划涉及看似不同类别的问题，从模式形成到拓扑转变再到蛋白质折叠，特别强调其动力学方面。PI建议寻找统一的概念，如变分原理和守恒定律的作用，并了解能量学，动力学和拓扑和几何约束是如何联系在一起的，在描述图案和形状的动力学。 PI建议在普林斯顿大学开设几个本科生和研究生课程，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学等一般领域。他的研究计划是寻找普遍的统一原则，这些原则支配着事物如何改变形状的动力学--无论是DNA的线圈、超导体中的漩涡，还是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）与几何学对这种变化的约束之间的竞争。 ***

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. ***