Collaborative Research: GCR: Collective Behavior and Patterning of Topological Defects: From String Theory to Crystal Plasticity

合作研究：GCR：拓扑缺陷的集体行为和模式：从弦理论到晶体可塑性

基本信息

批准号：
2021019
负责人：
Amit Acharya
金额：
$ 288.95万
依托单位：
Carnegie-Mellon University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-10-01 至 2025-09-30
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2021019&HistoricalAwards=false
关键词：
Collaborative Research GCR Collective Behavior

项目摘要

This project seeks to develop a unifying mathematical and conceptual framework to describe topological defects and understand their interactions and motions, capitalizing on a convergence of insights from engineering, physics and mathematics. Topological defects show up throughout a stunningly wide range of phenomena, ranging from patterns in the cosmos, to rupture fronts on fault planes in our planet’s crust, to the microscopic structure of the metal in an automobile or a jet engine or a skyscraper, to the arrangements of molecules in our phone screens, and potentially all the way down to the subatomic constituents of matter itself. Potentially, new knowledge from this research can be leveraged to seed advances in technology relevant for grand challenges in seismic forecasting, infrastructure renewal, and energy-efficient transportation.The research team will work on establishing a convergent quantitative language of topological defect dynamics in physical systems that addresses commonalities between seemingly unrelated physical phenomena. They will develop theoretical and computational tools for probing the structure, dynamics, and collective behavior of topological defects by leveraging insights from currently disparate fields spanning engineering, physics, and mathematics. The primary focus will be the scientific question of how string theory/quantum gravity is related to the mechanics of defects in crystalline solids, using holographic dualities developed to study string theory in anti-DeSitter space to learn about strongly coupled condensed matter systems. Understanding plasticity serves the pressing societal need for light-weight, high-strength, resilient metallic materials for energy-efficient transportation, built infrastructure, and defense.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目旨在开发一个统一的数学和概念框架来描述拓扑缺陷并理解它们的相互作用和运动，利用工程学、物理和数学的见解的融合，拓扑缺陷出现在从模式到令人震惊的广泛现象中。宇宙中，地球地壳断层面上的破裂，汽车、喷气发动机或摩天大楼中金属的微观结构，手机屏幕中分子的排列，以及潜在的所有深入研究物质本身的亚原子成分，这项研究的新知识有可能被用来推动与地震预报、基础设施更新和节能运输等重大挑战相关的技术进步。研究团队将致力于建立相关技术。物理系统中拓扑缺陷动力学的聚合定量语言，解决看似不相关的物理现象之间的共性。他们将利用当前跨越不同领域的见解，开发理论和计算工具来探测拓扑缺陷的结构、动力学和集体行为。主要重点是弦理论/量子引力如何与晶体固体缺陷力学相关的科学问题，利用全息对偶性来研究反德西特空间中的弦理论以了解耦合。了解可塑性满足了社会对轻质、高强度、弹性金属材料的迫切需求，用于节能交通、建筑基础设施和国防。该奖项反映了 NSF 的法定使命，并通过评估被认为值得支持。利用基金会的智力优势和更广泛的影响审查标准。