Towards Rigorous Results for Glassy Dynamics

获得玻璃动力学的严格结果

• 批准号: 443900618
• 负责人: Professor Dr. Matthias Sperl
• 金额: --
• 依托单位: Institut für Materialphysik im Weltraum
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/443900618?language=en
• 关键词: Towards; Rigorous; Results; Glassy; Dynamics

The emergence of new phenomena from the interplay between randomness and geometry is a vital mechanism in many instances in physics, such as structure formation, percolation, phase transitions, as well as the correlated spatial randomness seen in fluids, glasses and jammed packings. However, rigorous results are often rare in models of interest in physics, while many rigorous results from mathematics are often little appreciated in the physics contexts. From a physics perspective, simple exactly solvable models allow one to elucidate the underlying mechanisms of phenomena with great clarity.

从随机性和几何之间的相互作用中出现的新现象是物理学中许多情况下的重要机制，例如结构形成、渗流、相变，以及在流体、玻璃和堵塞的填料中看到的相关空间随机性。然而，严谨的结果在物理学感兴趣的模型中往往是罕见的，而许多来自数学的严谨结果在物理学背景下往往很少被赏识。从物理学的角度来看，简单的精确可解的模型使人们能够非常清楚地阐明现象的潜在机制。