The Combinatorics of Kinetically Constrained Models

运动约束模型的组合学

• 批准号: 2604192
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2604192
• 关键词: Combinatorics; Kinetically; Constrained; Models

Kinetically constrained spin models (KCSMs) are interacting particle systems which were introduced in the physics literature close to forty years ago to model liquid/glass transition and more generally so-called \glassy dynamics". One of the simplest such models is the East Model. In spite of its `simplicity', there are very few exact theorems about this model, even in low dimensions. My hope is that Julien will make progress with some of the open problems.

动能约束自旋模型(KCSM)是近40年前在物理学文献中引入的相互作用的粒子系统，用来模拟液体/玻璃相变和更一般的所谓玻璃动力学。其中最简单的模型之一是East模型。尽管它很简单，但关于这个模型的精确定理很少，即使在低维情况下也是如此。我希望Julien将在一些公开问题上取得进展。